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Finding the Fourth Proportional to 95,142, 131,295.96 and 52,703.28

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Solution

The fourth proportional to 95,142, 131,295.96 and 52,703.28 is: 72,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,142 : 131,295.96 = 52,703.28 : x
  2. Step 2: Convert to fraction form
    95,142/131,295.96 = 52,703.28/x
  3. Step 3: Cross multiply
    95,142x = 131,295.96 × 52,703.28
  4. Step 4: Simplify right side
    95,142x = 6,919,727,742.75
  5. Step 5: Solve for x
    x = 6,919,727,742.75/95,142
  6. Step 6: Final answer
    x = 72,730.53

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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.