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Finding the Fourth Proportional to 32,676,649.80, 49,020,294.18 and 9,649,913.52

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Solution

The fourth proportional to 32,676,649.80, 49,020,294.18 and 9,649,913.52 is: 14,476,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676,649.80 : 49,020,294.18 = 9,649,913.52 : x
  2. Step 2: Convert to fraction form
    32,676,649.80/49,020,294.18 = 9,649,913.52/x
  3. Step 3: Cross multiply
    32,676,649.80x = 49,020,294.18 × 9,649,913.52
  4. Step 4: Simplify right side
    32,676,649.80x = 473,041,599,561,959.31
  5. Step 5: Solve for x
    x = 473,041,599,561,959.31/32,676,649.80
  6. Step 6: Final answer
    x = 14,476,441.20

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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.