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Finding the Fourth Proportional to 65,828.74, 98,697.03 and 24,264.58

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Solution

The fourth proportional to 65,828.74, 98,697.03 and 24,264.58 is: 36,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828.74 : 98,697.03 = 24,264.58 : x
  2. Step 2: Convert to fraction form
    65,828.74/98,697.03 = 24,264.58/x
  3. Step 3: Cross multiply
    65,828.74x = 98,697.03 × 24,264.58
  4. Step 4: Simplify right side
    65,828.74x = 2,394,841,980.20
  5. Step 5: Solve for x
    x = 2,394,841,980.20/65,828.74
  6. Step 6: Final answer
    x = 36,379.88

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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.