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Finding the Fourth Proportional to 86,535.60, 129,793.80 and 24,212.40

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Solution

The fourth proportional to 86,535.60, 129,793.80 and 24,212.40 is: 36,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,535.60 : 129,793.80 = 24,212.40 : x
  2. Step 2: Convert to fraction form
    86,535.60/129,793.80 = 24,212.40/x
  3. Step 3: Cross multiply
    86,535.60x = 129,793.80 × 24,212.40
  4. Step 4: Simplify right side
    86,535.60x = 3,142,619,403.12
  5. Step 5: Solve for x
    x = 3,142,619,403.12/86,535.60
  6. Step 6: Final answer
    x = 36,315.91

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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.