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Finding the Fourth Proportional to 86,565.96, 119,461.14 and 48,843.72

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Solution

The fourth proportional to 86,565.96, 119,461.14 and 48,843.72 is: 67,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.96 : 119,461.14 = 48,843.72 : x
  2. Step 2: Convert to fraction form
    86,565.96/119,461.14 = 48,843.72/x
  3. Step 3: Cross multiply
    86,565.96x = 119,461.14 × 48,843.72
  4. Step 4: Simplify right side
    86,565.96x = 5,834,926,473.04
  5. Step 5: Solve for x
    x = 5,834,926,473.04/86,565.96
  6. Step 6: Final answer
    x = 67,404.40

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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.