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Finding the Fourth Proportional to 65,002.88, 97,504.31 and 15,754.88

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Solution

The fourth proportional to 65,002.88, 97,504.31 and 15,754.88 is: 23,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.88 : 97,504.31 = 15,754.88 : x
  2. Step 2: Convert to fraction form
    65,002.88/97,504.31 = 15,754.88/x
  3. Step 3: Cross multiply
    65,002.88x = 97,504.31 × 15,754.88
  4. Step 4: Simplify right side
    65,002.88x = 1,536,168,255.40
  5. Step 5: Solve for x
    x = 1,536,168,255.40/65,002.88
  6. Step 6: Final answer
    x = 23,632.31

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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.