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Finding the Fourth Proportional to 95,447, 131,712.50 and 53,008.20

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Solution

The fourth proportional to 95,447, 131,712.50 and 53,008.20 is: 73,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,447 : 131,712.50 = 53,008.20 : x
  2. Step 2: Convert to fraction form
    95,447/131,712.50 = 53,008.20/x
  3. Step 3: Cross multiply
    95,447x = 131,712.50 × 53,008.20
  4. Step 4: Simplify right side
    95,447x = 6,981,842,542.50
  5. Step 5: Solve for x
    x = 6,981,842,542.50/95,447
  6. Step 6: Final answer
    x = 73,148.89

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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.