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Finding the Fourth Proportional to 65,135.60, 97,714.20 and 27,713.60

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Solution

The fourth proportional to 65,135.60, 97,714.20 and 27,713.60 is: 41,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.60 : 97,714.20 = 27,713.60 : x
  2. Step 2: Convert to fraction form
    65,135.60/97,714.20 = 27,713.60/x
  3. Step 3: Cross multiply
    65,135.60x = 97,714.20 × 27,713.60
  4. Step 4: Simplify right side
    65,135.60x = 2,708,012,253.12
  5. Step 5: Solve for x
    x = 2,708,012,253.12/65,135.60
  6. Step 6: Final answer
    x = 41,575.00

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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.