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Finding the Fourth Proportional to 101,702.10, 152,540.16 and 26,827.89

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Solution

The fourth proportional to 101,702.10, 152,540.16 and 26,827.89 is: 40,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,702.10 : 152,540.16 = 26,827.89 : x
  2. Step 2: Convert to fraction form
    101,702.10/152,540.16 = 26,827.89/x
  3. Step 3: Cross multiply
    101,702.10x = 152,540.16 × 26,827.89
  4. Step 4: Simplify right side
    101,702.10x = 4,092,330,633.06
  5. Step 5: Solve for x
    x = 4,092,330,633.06/101,702.10
  6. Step 6: Final answer
    x = 40,238.41

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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.