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Finding the Fourth Proportional to 104,071.70, 156,061.38 and 47,898.20

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Solution

The fourth proportional to 104,071.70, 156,061.38 and 47,898.20 is: 71,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,071.70 : 156,061.38 = 47,898.20 : x
  2. Step 2: Convert to fraction form
    104,071.70/156,061.38 = 47,898.20/x
  3. Step 3: Cross multiply
    104,071.70x = 156,061.38 × 47,898.20
  4. Step 4: Simplify right side
    104,071.70x = 7,475,059,191.52
  5. Step 5: Solve for x
    x = 7,475,059,191.52/104,071.70
  6. Step 6: Final answer
    x = 71,826.05

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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.