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Finding the Fourth Proportional to 42,706.14, 64,062.57 and 11,540.94

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Solution

The fourth proportional to 42,706.14, 64,062.57 and 11,540.94 is: 17,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.14 : 64,062.57 = 11,540.94 : x
  2. Step 2: Convert to fraction form
    42,706.14/64,062.57 = 11,540.94/x
  3. Step 3: Cross multiply
    42,706.14x = 64,062.57 × 11,540.94
  4. Step 4: Simplify right side
    42,706.14x = 739,342,276.62
  5. Step 5: Solve for x
    x = 739,342,276.62/42,706.14
  6. Step 6: Final answer
    x = 17,312.32

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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.