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Finding the Fourth Proportional to 71,533.84, 98,714.82 and 39,701.92

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Solution

The fourth proportional to 71,533.84, 98,714.82 and 39,701.92 is: 54,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,533.84 : 98,714.82 = 39,701.92 : x
  2. Step 2: Convert to fraction form
    71,533.84/98,714.82 = 39,701.92/x
  3. Step 3: Cross multiply
    71,533.84x = 98,714.82 × 39,701.92
  4. Step 4: Simplify right side
    71,533.84x = 3,919,167,886.45
  5. Step 5: Solve for x
    x = 3,919,167,886.45/71,533.84
  6. Step 6: Final answer
    x = 54,787.61

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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.