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Finding the Fourth Proportional to 83,843.84, 115,712.16 and 48,045.44

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Solution

The fourth proportional to 83,843.84, 115,712.16 and 48,045.44 is: 66,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.84 : 115,712.16 = 48,045.44 : x
  2. Step 2: Convert to fraction form
    83,843.84/115,712.16 = 48,045.44/x
  3. Step 3: Cross multiply
    83,843.84x = 115,712.16 × 48,045.44
  4. Step 4: Simplify right side
    83,843.84x = 5,559,441,640.55
  5. Step 5: Solve for x
    x = 5,559,441,640.55/83,843.84
  6. Step 6: Final answer
    x = 66,307.10

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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.