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Finding the Fourth Proportional to 65,377.13, 98,080.27 and 23,824.13

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Solution

The fourth proportional to 65,377.13, 98,080.27 and 23,824.13 is: 35,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,377.13 : 98,080.27 = 23,824.13 : x
  2. Step 2: Convert to fraction form
    65,377.13/98,080.27 = 23,824.13/x
  3. Step 3: Cross multiply
    65,377.13x = 98,080.27 × 23,824.13
  4. Step 4: Simplify right side
    65,377.13x = 2,336,676,552.95
  5. Step 5: Solve for x
    x = 2,336,676,552.95/65,377.13
  6. Step 6: Final answer
    x = 35,741.50

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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.