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Finding the Fourth Proportional to 42,760.34, 64,147.39 and 13,178.16

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Solution

The fourth proportional to 42,760.34, 64,147.39 and 13,178.16 is: 19,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,760.34 : 64,147.39 = 13,178.16 : x
  2. Step 2: Convert to fraction form
    42,760.34/64,147.39 = 13,178.16/x
  3. Step 3: Cross multiply
    42,760.34x = 64,147.39 × 13,178.16
  4. Step 4: Simplify right side
    42,760.34x = 845,344,569.00
  5. Step 5: Solve for x
    x = 845,344,569.00/42,760.34
  6. Step 6: Final answer
    x = 19,769.36

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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.