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Finding the Fourth Proportional to 92,251, 138,376.50 and 29,921.50

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Solution

The fourth proportional to 92,251, 138,376.50 and 29,921.50 is: 44,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,251 : 138,376.50 = 29,921.50 : x
  2. Step 2: Convert to fraction form
    92,251/138,376.50 = 29,921.50/x
  3. Step 3: Cross multiply
    92,251x = 138,376.50 × 29,921.50
  4. Step 4: Simplify right side
    92,251x = 4,140,432,444.75
  5. Step 5: Solve for x
    x = 4,140,432,444.75/92,251
  6. Step 6: Final answer
    x = 44,882.25

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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.