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Finding the Fourth Proportional to 55,856.72, 83,784.36 and 13,737.16

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Solution

The fourth proportional to 55,856.72, 83,784.36 and 13,737.16 is: 20,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856.72 : 83,784.36 = 13,737.16 : x
  2. Step 2: Convert to fraction form
    55,856.72/83,784.36 = 13,737.16/x
  3. Step 3: Cross multiply
    55,856.72x = 83,784.36 × 13,737.16
  4. Step 4: Simplify right side
    55,856.72x = 1,150,959,158.82
  5. Step 5: Solve for x
    x = 1,150,959,158.82/55,856.72
  6. Step 6: Final answer
    x = 20,605.56

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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.