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Finding the Fourth Proportional to 42,742.48, 64,107.24 and 15,034

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Solution

The fourth proportional to 42,742.48, 64,107.24 and 15,034 is: 22,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,742.48 : 64,107.24 = 15,034 : x
  2. Step 2: Convert to fraction form
    42,742.48/64,107.24 = 15,034/x
  3. Step 3: Cross multiply
    42,742.48x = 64,107.24 × 15,034
  4. Step 4: Simplify right side
    42,742.48x = 963,788,246.16
  5. Step 5: Solve for x
    x = 963,788,246.16/42,742.48
  6. Step 6: Final answer
    x = 22,548.72

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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.