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Finding the Fourth Proportional to 65,743.80, 98,615.70 and 24,185.40

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Solution

The fourth proportional to 65,743.80, 98,615.70 and 24,185.40 is: 36,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.80 : 98,615.70 = 24,185.40 : x
  2. Step 2: Convert to fraction form
    65,743.80/98,615.70 = 24,185.40/x
  3. Step 3: Cross multiply
    65,743.80x = 98,615.70 × 24,185.40
  4. Step 4: Simplify right side
    65,743.80x = 2,385,060,150.78
  5. Step 5: Solve for x
    x = 2,385,060,150.78/65,743.80
  6. Step 6: Final answer
    x = 36,278.10

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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.