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Finding the Fourth Proportional to 48,052.72, 66,308.34 and 31,057.48

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Solution

The fourth proportional to 48,052.72, 66,308.34 and 31,057.48 is: 42,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,052.72 : 66,308.34 = 31,057.48 : x
  2. Step 2: Convert to fraction form
    48,052.72/66,308.34 = 31,057.48/x
  3. Step 3: Cross multiply
    48,052.72x = 66,308.34 × 31,057.48
  4. Step 4: Simplify right side
    48,052.72x = 2,059,369,943.38
  5. Step 5: Solve for x
    x = 2,059,369,943.38/48,052.72
  6. Step 6: Final answer
    x = 42,856.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.