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Finding the Fourth Proportional to 30,938.94, 42,695.28 and 17,512.74

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Solution

The fourth proportional to 30,938.94, 42,695.28 and 17,512.74 is: 24,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.94 : 42,695.28 = 17,512.74 : x
  2. Step 2: Convert to fraction form
    30,938.94/42,695.28 = 17,512.74/x
  3. Step 3: Cross multiply
    30,938.94x = 42,695.28 × 17,512.74
  4. Step 4: Simplify right side
    30,938.94x = 747,711,337.87
  5. Step 5: Solve for x
    x = 747,711,337.87/30,938.94
  6. Step 6: Final answer
    x = 24,167.32

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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.