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Finding the Fourth Proportional to 65,023.80, 97,568.10 and 36,965.40

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Solution

The fourth proportional to 65,023.80, 97,568.10 and 36,965.40 is: 55,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.80 : 97,568.10 = 36,965.40 : x
  2. Step 2: Convert to fraction form
    65,023.80/97,568.10 = 36,965.40/x
  3. Step 3: Cross multiply
    65,023.80x = 97,568.10 × 36,965.40
  4. Step 4: Simplify right side
    65,023.80x = 3,606,643,843.74
  5. Step 5: Solve for x
    x = 3,606,643,843.74/65,023.80
  6. Step 6: Final answer
    x = 55,466.52

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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.