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Finding the Fourth Proportional to 98,476.24, 135,897.36 and 53,764.24

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Solution

The fourth proportional to 98,476.24, 135,897.36 and 53,764.24 is: 74,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476.24 : 135,897.36 = 53,764.24 : x
  2. Step 2: Convert to fraction form
    98,476.24/135,897.36 = 53,764.24/x
  3. Step 3: Cross multiply
    98,476.24x = 135,897.36 × 53,764.24
  4. Step 4: Simplify right side
    98,476.24x = 7,306,418,278.41
  5. Step 5: Solve for x
    x = 7,306,418,278.41/98,476.24
  6. Step 6: Final answer
    x = 74,194.73

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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.