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Finding the Fourth Proportional to 95,242.78, 142,871.95 and 47,833.49

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Solution

The fourth proportional to 95,242.78, 142,871.95 and 47,833.49 is: 71,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,242.78 : 142,871.95 = 47,833.49 : x
  2. Step 2: Convert to fraction form
    95,242.78/142,871.95 = 47,833.49/x
  3. Step 3: Cross multiply
    95,242.78x = 142,871.95 × 47,833.49
  4. Step 4: Simplify right side
    95,242.78x = 6,834,063,038.08
  5. Step 5: Solve for x
    x = 6,834,063,038.08/95,242.78
  6. Step 6: Final answer
    x = 71,754.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.