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Finding the Fourth Proportional to 62,827.32, 86,702.94 and 34,535.64

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Solution

The fourth proportional to 62,827.32, 86,702.94 and 34,535.64 is: 47,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,827.32 : 86,702.94 = 34,535.64 : x
  2. Step 2: Convert to fraction form
    62,827.32/86,702.94 = 34,535.64/x
  3. Step 3: Cross multiply
    62,827.32x = 86,702.94 × 34,535.64
  4. Step 4: Simplify right side
    62,827.32x = 2,994,341,522.78
  5. Step 5: Solve for x
    x = 2,994,341,522.78/62,827.32
  6. Step 6: Final answer
    x = 47,659.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.