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Finding the Fourth Proportional to 55,768.59, 76,957.97 and 31,897.89

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Solution

The fourth proportional to 55,768.59, 76,957.97 and 31,897.89 is: 44,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768.59 : 76,957.97 = 31,897.89 : x
  2. Step 2: Convert to fraction form
    55,768.59/76,957.97 = 31,897.89/x
  3. Step 3: Cross multiply
    55,768.59x = 76,957.97 × 31,897.89
  4. Step 4: Simplify right side
    55,768.59x = 2,454,796,702.19
  5. Step 5: Solve for x
    x = 2,454,796,702.19/55,768.59
  6. Step 6: Final answer
    x = 44,017.55

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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.