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Finding the Fourth Proportional to 65,042.98, 97,564.56 and 18,295.90

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Solution

The fourth proportional to 65,042.98, 97,564.56 and 18,295.90 is: 27,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.98 : 97,564.56 = 18,295.90 : x
  2. Step 2: Convert to fraction form
    65,042.98/97,564.56 = 18,295.90/x
  3. Step 3: Cross multiply
    65,042.98x = 97,564.56 × 18,295.90
  4. Step 4: Simplify right side
    65,042.98x = 1,785,031,433.30
  5. Step 5: Solve for x
    x = 1,785,031,433.30/65,042.98
  6. Step 6: Final answer
    x = 27,443.88

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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.