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Finding the Fourth Proportional to 65,710.43, 98,573.84 and 25,724.25

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Solution

The fourth proportional to 65,710.43, 98,573.84 and 25,724.25 is: 38,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.43 : 98,573.84 = 25,724.25 : x
  2. Step 2: Convert to fraction form
    65,710.43/98,573.84 = 25,724.25/x
  3. Step 3: Cross multiply
    65,710.43x = 98,573.84 × 25,724.25
  4. Step 4: Simplify right side
    65,710.43x = 2,535,738,071.46
  5. Step 5: Solve for x
    x = 2,535,738,071.46/65,710.43
  6. Step 6: Final answer
    x = 38,589.58

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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.