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Finding the Fourth Proportional to 42,702.14, 64,082.34 and 15,000.14

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Solution

The fourth proportional to 42,702.14, 64,082.34 and 15,000.14 is: 22,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.14 : 64,082.34 = 15,000.14 : x
  2. Step 2: Convert to fraction form
    42,702.14/64,082.34 = 15,000.14/x
  3. Step 3: Cross multiply
    42,702.14x = 64,082.34 × 15,000.14
  4. Step 4: Simplify right side
    42,702.14x = 961,244,071.53
  5. Step 5: Solve for x
    x = 961,244,071.53/42,702.14
  6. Step 6: Final answer
    x = 22,510.44

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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.