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Finding the Fourth Proportional to 30,929.17, 42,681.11 and 16,781.71

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Solution

The fourth proportional to 30,929.17, 42,681.11 and 16,781.71 is: 23,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.17 : 42,681.11 = 16,781.71 : x
  2. Step 2: Convert to fraction form
    30,929.17/42,681.11 = 16,781.71/x
  3. Step 3: Cross multiply
    30,929.17x = 42,681.11 × 16,781.71
  4. Step 4: Simplify right side
    30,929.17x = 716,262,010.50
  5. Step 5: Solve for x
    x = 716,262,010.50/30,929.17
  6. Step 6: Final answer
    x = 23,158.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.