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Finding the Fourth Proportional to 103,959.84, 155,915.88 and 29,085.24

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Solution

The fourth proportional to 103,959.84, 155,915.88 and 29,085.24 is: 43,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959.84 : 155,915.88 = 29,085.24 : x
  2. Step 2: Convert to fraction form
    103,959.84/155,915.88 = 29,085.24/x
  3. Step 3: Cross multiply
    103,959.84x = 155,915.88 × 29,085.24
  4. Step 4: Simplify right side
    103,959.84x = 4,534,850,789.61
  5. Step 5: Solve for x
    x = 4,534,850,789.61/103,959.84
  6. Step 6: Final answer
    x = 43,621.18

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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.