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Finding the Fourth Proportional to 71,371.80, 107,026.74 and 38,084.58

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Solution

The fourth proportional to 71,371.80, 107,026.74 and 38,084.58 is: 57,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371.80 : 107,026.74 = 38,084.58 : x
  2. Step 2: Convert to fraction form
    71,371.80/107,026.74 = 38,084.58/x
  3. Step 3: Cross multiply
    71,371.80x = 107,026.74 × 38,084.58
  4. Step 4: Simplify right side
    71,371.80x = 4,076,068,441.67
  5. Step 5: Solve for x
    x = 4,076,068,441.67/71,371.80
  6. Step 6: Final answer
    x = 57,110.35

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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.