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Finding the Fourth Proportional to 68,702.96, 103,054.66 and 24,331

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Solution

The fourth proportional to 68,702.96, 103,054.66 and 24,331 is: 36,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,702.96 : 103,054.66 = 24,331 : x
  2. Step 2: Convert to fraction form
    68,702.96/103,054.66 = 24,331/x
  3. Step 3: Cross multiply
    68,702.96x = 103,054.66 × 24,331
  4. Step 4: Simplify right side
    68,702.96x = 2,507,422,932.46
  5. Step 5: Solve for x
    x = 2,507,422,932.46/68,702.96
  6. Step 6: Final answer
    x = 36,496.58

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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.