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Finding the Fourth Proportional to 92,378.68, 138,427.08 and 48,019.84

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Solution

The fourth proportional to 92,378.68, 138,427.08 and 48,019.84 is: 71,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378.68 : 138,427.08 = 48,019.84 : x
  2. Step 2: Convert to fraction form
    92,378.68/138,427.08 = 48,019.84/x
  3. Step 3: Cross multiply
    92,378.68x = 138,427.08 × 48,019.84
  4. Step 4: Simplify right side
    92,378.68x = 6,647,246,233.27
  5. Step 5: Solve for x
    x = 6,647,246,233.27/92,378.68
  6. Step 6: Final answer
    x = 71,956.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.