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Finding the Fourth Proportional to 76,671.40, 105,801.78 and 44,838.40

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Solution

The fourth proportional to 76,671.40, 105,801.78 and 44,838.40 is: 61,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671.40 : 105,801.78 = 44,838.40 : x
  2. Step 2: Convert to fraction form
    76,671.40/105,801.78 = 44,838.40/x
  3. Step 3: Cross multiply
    76,671.40x = 105,801.78 × 44,838.40
  4. Step 4: Simplify right side
    76,671.40x = 4,743,982,532.35
  5. Step 5: Solve for x
    x = 4,743,982,532.35/76,671.40
  6. Step 6: Final answer
    x = 61,874.21

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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.