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Finding the Fourth Proportional to 65,748.80, 98,633.04 and 24,192.64

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Solution

The fourth proportional to 65,748.80, 98,633.04 and 24,192.64 is: 36,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748.80 : 98,633.04 = 24,192.64 : x
  2. Step 2: Convert to fraction form
    65,748.80/98,633.04 = 24,192.64/x
  3. Step 3: Cross multiply
    65,748.80x = 98,633.04 × 24,192.64
  4. Step 4: Simplify right side
    65,748.80x = 2,386,193,628.83
  5. Step 5: Solve for x
    x = 2,386,193,628.83/65,748.80
  6. Step 6: Final answer
    x = 36,292.58

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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.