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Finding the Fourth Proportional to 65,102.04, 97,657.92 and 27,657.90

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Solution

The fourth proportional to 65,102.04, 97,657.92 and 27,657.90 is: 41,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.04 : 97,657.92 = 27,657.90 : x
  2. Step 2: Convert to fraction form
    65,102.04/97,657.92 = 27,657.90/x
  3. Step 3: Cross multiply
    65,102.04x = 97,657.92 × 27,657.90
  4. Step 4: Simplify right side
    65,102.04x = 2,701,012,985.57
  5. Step 5: Solve for x
    x = 2,701,012,985.57/65,102.04
  6. Step 6: Final answer
    x = 41,488.91

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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.