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Finding the Fourth Proportional to 65,338.60, 97,862.10 and 50,499.40

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Solution

The fourth proportional to 65,338.60, 97,862.10 and 50,499.40 is: 75,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.60 : 97,862.10 = 50,499.40 : x
  2. Step 2: Convert to fraction form
    65,338.60/97,862.10 = 50,499.40/x
  3. Step 3: Cross multiply
    65,338.60x = 97,862.10 × 50,499.40
  4. Step 4: Simplify right side
    65,338.60x = 4,941,977,332.74
  5. Step 5: Solve for x
    x = 4,941,977,332.74/65,338.60
  6. Step 6: Final answer
    x = 75,636.41

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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.