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Finding the Fourth Proportional to 61,807.92, 92,711.88 and 24,846

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Solution

The fourth proportional to 61,807.92, 92,711.88 and 24,846 is: 37,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807.92 : 92,711.88 = 24,846 : x
  2. Step 2: Convert to fraction form
    61,807.92/92,711.88 = 24,846/x
  3. Step 3: Cross multiply
    61,807.92x = 92,711.88 × 24,846
  4. Step 4: Simplify right side
    61,807.92x = 2,303,519,370.48
  5. Step 5: Solve for x
    x = 2,303,519,370.48/61,807.92
  6. Step 6: Final answer
    x = 37,269

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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.