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Finding the Fourth Proportional to 30,565.16, 42,181.65 and 17,140.71

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Solution

The fourth proportional to 30,565.16, 42,181.65 and 17,140.71 is: 23,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.16 : 42,181.65 = 17,140.71 : x
  2. Step 2: Convert to fraction form
    30,565.16/42,181.65 = 17,140.71/x
  3. Step 3: Cross multiply
    30,565.16x = 42,181.65 × 17,140.71
  4. Step 4: Simplify right side
    30,565.16x = 723,023,429.97
  5. Step 5: Solve for x
    x = 723,023,429.97/30,565.16
  6. Step 6: Final answer
    x = 23,655.15

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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.