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Finding the Fourth Proportional to 97,167.92, 145,774.20 and 50,410.40

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Solution

The fourth proportional to 97,167.92, 145,774.20 and 50,410.40 is: 75,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,167.92 : 145,774.20 = 50,410.40 : x
  2. Step 2: Convert to fraction form
    97,167.92/145,774.20 = 50,410.40/x
  3. Step 3: Cross multiply
    97,167.92x = 145,774.20 × 50,410.40
  4. Step 4: Simplify right side
    97,167.92x = 7,348,535,731.68
  5. Step 5: Solve for x
    x = 7,348,535,731.68/97,167.92
  6. Step 6: Final answer
    x = 75,627.18

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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.