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Finding the Fourth Proportional to 98,468.64, 135,882 and 56,023.20

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Solution

The fourth proportional to 98,468.64, 135,882 and 56,023.20 is: 77,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,468.64 : 135,882 = 56,023.20 : x
  2. Step 2: Convert to fraction form
    98,468.64/135,882 = 56,023.20/x
  3. Step 3: Cross multiply
    98,468.64x = 135,882 × 56,023.20
  4. Step 4: Simplify right side
    98,468.64x = 7,612,544,462.40
  5. Step 5: Solve for x
    x = 7,612,544,462.40/98,468.64
  6. Step 6: Final answer
    x = 77,309.33

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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.