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Finding the Fourth Proportional to 71,852.60, 107,731.96 and 34,411.46

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Solution

The fourth proportional to 71,852.60, 107,731.96 and 34,411.46 is: 51,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,852.60 : 107,731.96 = 34,411.46 : x
  2. Step 2: Convert to fraction form
    71,852.60/107,731.96 = 34,411.46/x
  3. Step 3: Cross multiply
    71,852.60x = 107,731.96 × 34,411.46
  4. Step 4: Simplify right side
    71,852.60x = 3,707,213,407.57
  5. Step 5: Solve for x
    x = 3,707,213,407.57/71,852.60
  6. Step 6: Final answer
    x = 51,594.70

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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.