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Finding the Fourth Proportional to 58,497.52, 87,542.16 and 47,844.40

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Solution

The fourth proportional to 58,497.52, 87,542.16 and 47,844.40 is: 71,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,497.52 : 87,542.16 = 47,844.40 : x
  2. Step 2: Convert to fraction form
    58,497.52/87,542.16 = 47,844.40/x
  3. Step 3: Cross multiply
    58,497.52x = 87,542.16 × 47,844.40
  4. Step 4: Simplify right side
    58,497.52x = 4,188,402,119.90
  5. Step 5: Solve for x
    x = 4,188,402,119.90/58,497.52
  6. Step 6: Final answer
    x = 71,599.65

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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.