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Finding the Fourth Proportional to 65,877.09, 98,712.09 and 50,920.82

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Solution

The fourth proportional to 65,877.09, 98,712.09 and 50,920.82 is: 76,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877.09 : 98,712.09 = 50,920.82 : x
  2. Step 2: Convert to fraction form
    65,877.09/98,712.09 = 50,920.82/x
  3. Step 3: Cross multiply
    65,877.09x = 98,712.09 × 50,920.82
  4. Step 4: Simplify right side
    65,877.09x = 5,026,500,566.71
  5. Step 5: Solve for x
    x = 5,026,500,566.71/65,877.09
  6. Step 6: Final answer
    x = 76,301.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.