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Finding the Fourth Proportional to 61,812.96, 92,718.48 and 24,876

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Solution

The fourth proportional to 61,812.96, 92,718.48 and 24,876 is: 37,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,812.96 : 92,718.48 = 24,876 : x
  2. Step 2: Convert to fraction form
    61,812.96/92,718.48 = 24,876/x
  3. Step 3: Cross multiply
    61,812.96x = 92,718.48 × 24,876
  4. Step 4: Simplify right side
    61,812.96x = 2,306,464,908.48
  5. Step 5: Solve for x
    x = 2,306,464,908.48/61,812.96
  6. Step 6: Final answer
    x = 37,313.61

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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.