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Finding the Fourth Proportional to 51,498.73, 77,298.03 and 24,863.50

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Solution

The fourth proportional to 51,498.73, 77,298.03 and 24,863.50 is: 37,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498.73 : 77,298.03 = 24,863.50 : x
  2. Step 2: Convert to fraction form
    51,498.73/77,298.03 = 24,863.50/x
  3. Step 3: Cross multiply
    51,498.73x = 77,298.03 × 24,863.50
  4. Step 4: Simplify right side
    51,498.73x = 1,921,899,182.41
  5. Step 5: Solve for x
    x = 1,921,899,182.41/51,498.73
  6. Step 6: Final answer
    x = 37,319.35

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