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Finding the Fourth Proportional to 58,104.25, 87,193.24 and 24,824.57

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Solution

The fourth proportional to 58,104.25, 87,193.24 and 24,824.57 is: 37,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,104.25 : 87,193.24 = 24,824.57 : x
  2. Step 2: Convert to fraction form
    58,104.25/87,193.24 = 24,824.57/x
  3. Step 3: Cross multiply
    58,104.25x = 87,193.24 × 24,824.57
  4. Step 4: Simplify right side
    58,104.25x = 2,164,534,129.82
  5. Step 5: Solve for x
    x = 2,164,534,129.82/58,104.25
  6. Step 6: Final answer
    x = 37,252.60

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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.