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Finding the Fourth Proportional to 30,939.30, 42,689.16 and 17,507.66

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Solution

The fourth proportional to 30,939.30, 42,689.16 and 17,507.66 is: 24,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.30 : 42,689.16 = 17,507.66 : x
  2. Step 2: Convert to fraction form
    30,939.30/42,689.16 = 17,507.66/x
  3. Step 3: Cross multiply
    30,939.30x = 42,689.16 × 17,507.66
  4. Step 4: Simplify right side
    30,939.30x = 747,387,085.52
  5. Step 5: Solve for x
    x = 747,387,085.52/30,939.30
  6. Step 6: Final answer
    x = 24,156.56

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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.