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Finding the Fourth Proportional to 127,622.96, 176,125.58 and 71,038

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Solution

The fourth proportional to 127,622.96, 176,125.58 and 71,038 is: 98,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,622.96 : 176,125.58 = 71,038 : x
  2. Step 2: Convert to fraction form
    127,622.96/176,125.58 = 71,038/x
  3. Step 3: Cross multiply
    127,622.96x = 176,125.58 × 71,038
  4. Step 4: Simplify right side
    127,622.96x = 12,511,608,952.04
  5. Step 5: Solve for x
    x = 12,511,608,952.04/127,622.96
  6. Step 6: Final answer
    x = 98,035.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.