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Finding the Fourth Proportional to 58,834.97, 88,231.10 and 32,200.64

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Solution

The fourth proportional to 58,834.97, 88,231.10 and 32,200.64 is: 48,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,834.97 : 88,231.10 = 32,200.64 : x
  2. Step 2: Convert to fraction form
    58,834.97/88,231.10 = 32,200.64/x
  3. Step 3: Cross multiply
    58,834.97x = 88,231.10 × 32,200.64
  4. Step 4: Simplify right side
    58,834.97x = 2,841,097,285.75
  5. Step 5: Solve for x
    x = 2,841,097,285.75/58,834.97
  6. Step 6: Final answer
    x = 48,289.27

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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.