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Finding the Fourth Proportional to 38,046.60, 56,794.95 and 33,381

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Solution

The fourth proportional to 38,046.60, 56,794.95 and 33,381 is: 49,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.60 : 56,794.95 = 33,381 : x
  2. Step 2: Convert to fraction form
    38,046.60/56,794.95 = 33,381/x
  3. Step 3: Cross multiply
    38,046.60x = 56,794.95 × 33,381
  4. Step 4: Simplify right side
    38,046.60x = 1,895,872,225.95
  5. Step 5: Solve for x
    x = 1,895,872,225.95/38,046.60
  6. Step 6: Final answer
    x = 49,830.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.