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Finding the Fourth Proportional to 65,281.25, 97,894.13 and 23,171.92

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Solution

The fourth proportional to 65,281.25, 97,894.13 and 23,171.92 is: 34,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281.25 : 97,894.13 = 23,171.92 : x
  2. Step 2: Convert to fraction form
    65,281.25/97,894.13 = 23,171.92/x
  3. Step 3: Cross multiply
    65,281.25x = 97,894.13 × 23,171.92
  4. Step 4: Simplify right side
    65,281.25x = 2,268,394,948.83
  5. Step 5: Solve for x
    x = 2,268,394,948.83/65,281.25
  6. Step 6: Final answer
    x = 34,748.03

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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.