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Finding the Fourth Proportional to 55,023.68, 75,979.22 and 34,916.24

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Solution

The fourth proportional to 55,023.68, 75,979.22 and 34,916.24 is: 48,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,023.68 : 75,979.22 = 34,916.24 : x
  2. Step 2: Convert to fraction form
    55,023.68/75,979.22 = 34,916.24/x
  3. Step 3: Cross multiply
    55,023.68x = 75,979.22 × 34,916.24
  4. Step 4: Simplify right side
    55,023.68x = 2,652,908,680.53
  5. Step 5: Solve for x
    x = 2,652,908,680.53/55,023.68
  6. Step 6: Final answer
    x = 48,213.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.