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Finding the Fourth Proportional to 77,788.96, 116,703.84 and 24,478.72

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Solution

The fourth proportional to 77,788.96, 116,703.84 and 24,478.72 is: 36,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788.96 : 116,703.84 = 24,478.72 : x
  2. Step 2: Convert to fraction form
    77,788.96/116,703.84 = 24,478.72/x
  3. Step 3: Cross multiply
    77,788.96x = 116,703.84 × 24,478.72
  4. Step 4: Simplify right side
    77,788.96x = 2,856,760,622.28
  5. Step 5: Solve for x
    x = 2,856,760,622.28/77,788.96
  6. Step 6: Final answer
    x = 36,724.50

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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.