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Finding the Fourth Proportional to 98,559, 136,011.42 and 53,847

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Solution

The fourth proportional to 98,559, 136,011.42 and 53,847 is: 74,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,559 : 136,011.42 = 53,847 : x
  2. Step 2: Convert to fraction form
    98,559/136,011.42 = 53,847/x
  3. Step 3: Cross multiply
    98,559x = 136,011.42 × 53,847
  4. Step 4: Simplify right side
    98,559x = 7,323,806,932.74
  5. Step 5: Solve for x
    x = 7,323,806,932.74/98,559
  6. Step 6: Final answer
    x = 74,308.86

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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.