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Finding the Fourth Proportional to 47,059.60, 70,687.82 and 39,678.48

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Solution

The fourth proportional to 47,059.60, 70,687.82 and 39,678.48 is: 59,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,059.60 : 70,687.82 = 39,678.48 : x
  2. Step 2: Convert to fraction form
    47,059.60/70,687.82 = 39,678.48/x
  3. Step 3: Cross multiply
    47,059.60x = 70,687.82 × 39,678.48
  4. Step 4: Simplify right side
    47,059.60x = 2,804,785,252.11
  5. Step 5: Solve for x
    x = 2,804,785,252.11/47,059.60
  6. Step 6: Final answer
    x = 59,600.70

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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.