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Finding the Fourth Proportional to 42,702.72, 64,009.50 and 14,614.50

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Solution

The fourth proportional to 42,702.72, 64,009.50 and 14,614.50 is: 21,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.72 : 64,009.50 = 14,614.50 : x
  2. Step 2: Convert to fraction form
    42,702.72/64,009.50 = 14,614.50/x
  3. Step 3: Cross multiply
    42,702.72x = 64,009.50 × 14,614.50
  4. Step 4: Simplify right side
    42,702.72x = 935,466,837.75
  5. Step 5: Solve for x
    x = 935,466,837.75/42,702.72
  6. Step 6: Final answer
    x = 21,906.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.