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Finding the Fourth Proportional to 30,711.04, 42,432 and 24,471.04

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Solution

The fourth proportional to 30,711.04, 42,432 and 24,471.04 is: 33,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.04 : 42,432 = 24,471.04 : x
  2. Step 2: Convert to fraction form
    30,711.04/42,432 = 24,471.04/x
  3. Step 3: Cross multiply
    30,711.04x = 42,432 × 24,471.04
  4. Step 4: Simplify right side
    30,711.04x = 1,038,355,169.28
  5. Step 5: Solve for x
    x = 1,038,355,169.28/30,711.04
  6. Step 6: Final answer
    x = 33,810.49

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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.