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Finding the Fourth Proportional to 65,752.22, 98,653.16 and 39,475.28

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Solution

The fourth proportional to 65,752.22, 98,653.16 and 39,475.28 is: 59,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,752.22 : 98,653.16 = 39,475.28 : x
  2. Step 2: Convert to fraction form
    65,752.22/98,653.16 = 39,475.28/x
  3. Step 3: Cross multiply
    65,752.22x = 98,653.16 × 39,475.28
  4. Step 4: Simplify right side
    65,752.22x = 3,894,361,113.88
  5. Step 5: Solve for x
    x = 3,894,361,113.88/65,752.22
  6. Step 6: Final answer
    x = 59,227.83

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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.