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Finding the Fourth Proportional to 116,980.92, 175,495.05 and 38,073.96

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Solution

The fourth proportional to 116,980.92, 175,495.05 and 38,073.96 is: 57,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,980.92 : 175,495.05 = 38,073.96 : x
  2. Step 2: Convert to fraction form
    116,980.92/175,495.05 = 38,073.96/x
  3. Step 3: Cross multiply
    116,980.92x = 175,495.05 × 38,073.96
  4. Step 4: Simplify right side
    116,980.92x = 6,681,791,513.90
  5. Step 5: Solve for x
    x = 6,681,791,513.90/116,980.92
  6. Step 6: Final answer
    x = 57,118.64

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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.