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Finding the Fourth Proportional to 98,761.50, 136,291.14 and 54,049.50

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Solution

The fourth proportional to 98,761.50, 136,291.14 and 54,049.50 is: 74,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,761.50 : 136,291.14 = 54,049.50 : x
  2. Step 2: Convert to fraction form
    98,761.50/136,291.14 = 54,049.50/x
  3. Step 3: Cross multiply
    98,761.50x = 136,291.14 × 54,049.50
  4. Step 4: Simplify right side
    98,761.50x = 7,366,467,971.43
  5. Step 5: Solve for x
    x = 7,366,467,971.43/98,761.50
  6. Step 6: Final answer
    x = 74,588.46

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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.