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Finding the Fourth Proportional to 58,098.87, 87,147.09 and 15,978.77

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Solution

The fourth proportional to 58,098.87, 87,147.09 and 15,978.77 is: 23,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,098.87 : 87,147.09 = 15,978.77 : x
  2. Step 2: Convert to fraction form
    58,098.87/87,147.09 = 15,978.77/x
  3. Step 3: Cross multiply
    58,098.87x = 87,147.09 × 15,978.77
  4. Step 4: Simplify right side
    58,098.87x = 1,392,503,198.35
  5. Step 5: Solve for x
    x = 1,392,503,198.35/58,098.87
  6. Step 6: Final answer
    x = 23,967.82

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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.