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Finding the Fourth Proportional to 86,404.92, 129,607.38 and 49,443

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Solution

The fourth proportional to 86,404.92, 129,607.38 and 49,443 is: 74,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,404.92 : 129,607.38 = 49,443 : x
  2. Step 2: Convert to fraction form
    86,404.92/129,607.38 = 49,443/x
  3. Step 3: Cross multiply
    86,404.92x = 129,607.38 × 49,443
  4. Step 4: Simplify right side
    86,404.92x = 6,408,177,689.34
  5. Step 5: Solve for x
    x = 6,408,177,689.34/86,404.92
  6. Step 6: Final answer
    x = 74,164.50

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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.