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Finding the Fourth Proportional to 77,741.50, 116,612.52 and 21,586

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Solution

The fourth proportional to 77,741.50, 116,612.52 and 21,586 is: 32,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,741.50 : 116,612.52 = 21,586 : x
  2. Step 2: Convert to fraction form
    77,741.50/116,612.52 = 21,586/x
  3. Step 3: Cross multiply
    77,741.50x = 116,612.52 × 21,586
  4. Step 4: Simplify right side
    77,741.50x = 2,517,197,856.72
  5. Step 5: Solve for x
    x = 2,517,197,856.72/77,741.50
  6. Step 6: Final answer
    x = 32,379.07

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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.