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Finding the Fourth Proportional to 65,135.40, 97,702.83 and 27,689.64

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Solution

The fourth proportional to 65,135.40, 97,702.83 and 27,689.64 is: 41,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.40 : 97,702.83 = 27,689.64 : x
  2. Step 2: Convert to fraction form
    65,135.40/97,702.83 = 27,689.64/x
  3. Step 3: Cross multiply
    65,135.40x = 97,702.83 × 27,689.64
  4. Step 4: Simplify right side
    65,135.40x = 2,705,356,189.68
  5. Step 5: Solve for x
    x = 2,705,356,189.68/65,135.40
  6. Step 6: Final answer
    x = 41,534.35

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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.