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Finding the Fourth Proportional to 104,097.60, 156,123.02 and 47,883.71

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Solution

The fourth proportional to 104,097.60, 156,123.02 and 47,883.71 is: 71,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097.60 : 156,123.02 = 47,883.71 : x
  2. Step 2: Convert to fraction form
    104,097.60/156,123.02 = 47,883.71/x
  3. Step 3: Cross multiply
    104,097.60x = 156,123.02 × 47,883.71
  4. Step 4: Simplify right side
    104,097.60x = 7,475,749,924.02
  5. Step 5: Solve for x
    x = 7,475,749,924.02/104,097.60
  6. Step 6: Final answer
    x = 71,814.82

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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.