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Finding the Fourth Proportional to 57,587.80, 86,393.82 and 32,639.80

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Solution

The fourth proportional to 57,587.80, 86,393.82 and 32,639.80 is: 48,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,587.80 : 86,393.82 = 32,639.80 : x
  2. Step 2: Convert to fraction form
    57,587.80/86,393.82 = 32,639.80/x
  3. Step 3: Cross multiply
    57,587.80x = 86,393.82 × 32,639.80
  4. Step 4: Simplify right side
    57,587.80x = 2,819,877,006.04
  5. Step 5: Solve for x
    x = 2,819,877,006.04/57,587.80
  6. Step 6: Final answer
    x = 48,966.57

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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.