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Finding the Fourth Proportional to 65,642.55, 98,454.55 and 37,471.24

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Solution

The fourth proportional to 65,642.55, 98,454.55 and 37,471.24 is: 56,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.55 : 98,454.55 = 37,471.24 : x
  2. Step 2: Convert to fraction form
    65,642.55/98,454.55 = 37,471.24/x
  3. Step 3: Cross multiply
    65,642.55x = 98,454.55 × 37,471.24
  4. Step 4: Simplify right side
    65,642.55x = 3,689,214,072.14
  5. Step 5: Solve for x
    x = 3,689,214,072.14/65,642.55
  6. Step 6: Final answer
    x = 56,201.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.