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Finding the Fourth Proportional to 47,989.80, 71,898.30 and 41,077.80

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Solution

The fourth proportional to 47,989.80, 71,898.30 and 41,077.80 is: 61,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,989.80 : 71,898.30 = 41,077.80 : x
  2. Step 2: Convert to fraction form
    47,989.80/71,898.30 = 41,077.80/x
  3. Step 3: Cross multiply
    47,989.80x = 71,898.30 × 41,077.80
  4. Step 4: Simplify right side
    47,989.80x = 2,953,423,987.74
  5. Step 5: Solve for x
    x = 2,953,423,987.74/47,989.80
  6. Step 6: Final answer
    x = 61,542.74

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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.