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Finding the Fourth Proportional to 55,856.72, 83,655.60 and 55,442

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Solution

The fourth proportional to 55,856.72, 83,655.60 and 55,442 is: 83,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856.72 : 83,655.60 = 55,442 : x
  2. Step 2: Convert to fraction form
    55,856.72/83,655.60 = 55,442/x
  3. Step 3: Cross multiply
    55,856.72x = 83,655.60 × 55,442
  4. Step 4: Simplify right side
    55,856.72x = 4,638,033,775.20
  5. Step 5: Solve for x
    x = 4,638,033,775.20/55,856.72
  6. Step 6: Final answer
    x = 83,034.48

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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.