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Finding the Fourth Proportional to 32,676,649.31, 49,020,293.43 and 9,649,913.01

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Solution

The fourth proportional to 32,676,649.31, 49,020,293.43 and 9,649,913.01 is: 14,476,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676,649.31 : 49,020,293.43 = 9,649,913.01 : x
  2. Step 2: Convert to fraction form
    32,676,649.31/49,020,293.43 = 9,649,913.01/x
  3. Step 3: Cross multiply
    32,676,649.31x = 49,020,293.43 × 9,649,913.01
  4. Step 4: Simplify right side
    32,676,649.31x = 473,041,567,324,174.50
  5. Step 5: Solve for x
    x = 473,041,567,324,174.50/32,676,649.31
  6. Step 6: Final answer
    x = 14,476,440.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.