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Finding the Fourth Proportional to 55,801.78, 83,702.66 and 24,630.82

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Solution

The fourth proportional to 55,801.78, 83,702.66 and 24,630.82 is: 36,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,801.78 : 83,702.66 = 24,630.82 : x
  2. Step 2: Convert to fraction form
    55,801.78/83,702.66 = 24,630.82/x
  3. Step 3: Cross multiply
    55,801.78x = 83,702.66 × 24,630.82
  4. Step 4: Simplify right side
    55,801.78x = 2,061,664,945.86
  5. Step 5: Solve for x
    x = 2,061,664,945.86/55,801.78
  6. Step 6: Final answer
    x = 36,946.22

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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.