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Finding the Fourth Proportional to 65,332.60, 97,853.10 and 50,493.40

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Solution

The fourth proportional to 65,332.60, 97,853.10 and 50,493.40 is: 75,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332.60 : 97,853.10 = 50,493.40 : x
  2. Step 2: Convert to fraction form
    65,332.60/97,853.10 = 50,493.40/x
  3. Step 3: Cross multiply
    65,332.60x = 97,853.10 × 50,493.40
  4. Step 4: Simplify right side
    65,332.60x = 4,940,935,719.54
  5. Step 5: Solve for x
    x = 4,940,935,719.54/65,332.60
  6. Step 6: Final answer
    x = 75,627.42

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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.