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Finding the Fourth Proportional to 87,277.50, 120,442.95 and 47,533.50

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Solution

The fourth proportional to 87,277.50, 120,442.95 and 47,533.50 is: 65,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,277.50 : 120,442.95 = 47,533.50 : x
  2. Step 2: Convert to fraction form
    87,277.50/120,442.95 = 47,533.50/x
  3. Step 3: Cross multiply
    87,277.50x = 120,442.95 × 47,533.50
  4. Step 4: Simplify right side
    87,277.50x = 5,725,074,963.83
  5. Step 5: Solve for x
    x = 5,725,074,963.83/87,277.50
  6. Step 6: Final answer
    x = 65,596.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.