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Finding the Fourth Proportional to 101,342.14, 152,046 and 48,744.76

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Solution

The fourth proportional to 101,342.14, 152,046 and 48,744.76 is: 73,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,342.14 : 152,046 = 48,744.76 : x
  2. Step 2: Convert to fraction form
    101,342.14/152,046 = 48,744.76/x
  3. Step 3: Cross multiply
    101,342.14x = 152,046 × 48,744.76
  4. Step 4: Simplify right side
    101,342.14x = 7,411,445,778.96
  5. Step 5: Solve for x
    x = 7,411,445,778.96/101,342.14
  6. Step 6: Final answer
    x = 73,132.91

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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.