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Finding the Fourth Proportional to 58,509.76, 87,813.87 and 54,819.20

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Solution

The fourth proportional to 58,509.76, 87,813.87 and 54,819.20 is: 82,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,509.76 : 87,813.87 = 54,819.20 : x
  2. Step 2: Convert to fraction form
    58,509.76/87,813.87 = 54,819.20/x
  3. Step 3: Cross multiply
    58,509.76x = 87,813.87 × 54,819.20
  4. Step 4: Simplify right side
    58,509.76x = 4,813,885,930.67
  5. Step 5: Solve for x
    x = 4,813,885,930.67/58,509.76
  6. Step 6: Final answer
    x = 82,274.92

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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.