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Finding the Fourth Proportional to 68,032.85, 93,886.02 and 37,819.44

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Solution

The fourth proportional to 68,032.85, 93,886.02 and 37,819.44 is: 52,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032.85 : 93,886.02 = 37,819.44 : x
  2. Step 2: Convert to fraction form
    68,032.85/93,886.02 = 37,819.44/x
  3. Step 3: Cross multiply
    68,032.85x = 93,886.02 × 37,819.44
  4. Step 4: Simplify right side
    68,032.85x = 3,550,716,700.23
  5. Step 5: Solve for x
    x = 3,550,716,700.23/68,032.85
  6. Step 6: Final answer
    x = 52,191.21

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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.