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Finding the Fourth Proportional to 65,373.80, 97,974.52 and 25,909.40

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Solution

The fourth proportional to 65,373.80, 97,974.52 and 25,909.40 is: 38,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,373.80 : 97,974.52 = 25,909.40 : x
  2. Step 2: Convert to fraction form
    65,373.80/97,974.52 = 25,909.40/x
  3. Step 3: Cross multiply
    65,373.80x = 97,974.52 × 25,909.40
  4. Step 4: Simplify right side
    65,373.80x = 2,538,461,028.49
  5. Step 5: Solve for x
    x = 2,538,461,028.49/65,373.80
  6. Step 6: Final answer
    x = 38,829.94

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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.