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Finding the Fourth Proportional to 32,796, 49,202.33 and 9,422.46

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Solution

The fourth proportional to 32,796, 49,202.33 and 9,422.46 is: 14,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796 : 49,202.33 = 9,422.46 : x
  2. Step 2: Convert to fraction form
    32,796/49,202.33 = 9,422.46/x
  3. Step 3: Cross multiply
    32,796x = 49,202.33 × 9,422.46
  4. Step 4: Simplify right side
    32,796x = 463,606,939.22
  5. Step 5: Solve for x
    x = 463,606,939.22/32,796
  6. Step 6: Final answer
    x = 14,136.08

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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.