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Finding the Fourth Proportional to 67,985, 93,819.30 and 38,177

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Solution

The fourth proportional to 67,985, 93,819.30 and 38,177 is: 52,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,985 : 93,819.30 = 38,177 : x
  2. Step 2: Convert to fraction form
    67,985/93,819.30 = 38,177/x
  3. Step 3: Cross multiply
    67,985x = 93,819.30 × 38,177
  4. Step 4: Simplify right side
    67,985x = 3,581,739,416.10
  5. Step 5: Solve for x
    x = 3,581,739,416.10/67,985
  6. Step 6: Final answer
    x = 52,684.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.