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Finding the Fourth Proportional to 104,098.60, 156,124.52 and 47,884.71

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Solution

The fourth proportional to 104,098.60, 156,124.52 and 47,884.71 is: 71,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,098.60 : 156,124.52 = 47,884.71 : x
  2. Step 2: Convert to fraction form
    104,098.60/156,124.52 = 47,884.71/x
  3. Step 3: Cross multiply
    104,098.60x = 156,124.52 × 47,884.71
  4. Step 4: Simplify right side
    104,098.60x = 7,475,977,364.09
  5. Step 5: Solve for x
    x = 7,475,977,364.09/104,098.60
  6. Step 6: Final answer
    x = 71,816.31

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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.