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Finding the Fourth Proportional to 65,342.76, 98,002.40 and 17,311.70

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Solution

The fourth proportional to 65,342.76, 98,002.40 and 17,311.70 is: 25,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.76 : 98,002.40 = 17,311.70 : x
  2. Step 2: Convert to fraction form
    65,342.76/98,002.40 = 17,311.70/x
  3. Step 3: Cross multiply
    65,342.76x = 98,002.40 × 17,311.70
  4. Step 4: Simplify right side
    65,342.76x = 1,696,587,571.51
  5. Step 5: Solve for x
    x = 1,696,587,571.51/65,342.76
  6. Step 6: Final answer
    x = 25,964.43

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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.