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Finding the Fourth Proportional to 52,099.60, 71,928.12 and 34,225.78

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Solution

The fourth proportional to 52,099.60, 71,928.12 and 34,225.78 is: 47,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099.60 : 71,928.12 = 34,225.78 : x
  2. Step 2: Convert to fraction form
    52,099.60/71,928.12 = 34,225.78/x
  3. Step 3: Cross multiply
    52,099.60x = 71,928.12 × 34,225.78
  4. Step 4: Simplify right side
    52,099.60x = 2,461,796,010.93
  5. Step 5: Solve for x
    x = 2,461,796,010.93/52,099.60
  6. Step 6: Final answer
    x = 47,251.73

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1.5x scale

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.