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Finding the Fourth Proportional to 98,471.52, 135,905.04 and 56,040.48

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Solution

The fourth proportional to 98,471.52, 135,905.04 and 56,040.48 is: 77,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471.52 : 135,905.04 = 56,040.48 : x
  2. Step 2: Convert to fraction form
    98,471.52/135,905.04 = 56,040.48/x
  3. Step 3: Cross multiply
    98,471.52x = 135,905.04 × 56,040.48
  4. Step 4: Simplify right side
    98,471.52x = 7,616,183,676.02
  5. Step 5: Solve for x
    x = 7,616,183,676.02/98,471.52
  6. Step 6: Final answer
    x = 77,344.02

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Why These Related Problems?

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