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Finding the Fourth Proportional to 65,830.68, 98,721.54 and 23,699.34

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Solution

The fourth proportional to 65,830.68, 98,721.54 and 23,699.34 is: 35,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.68 : 98,721.54 = 23,699.34 : x
  2. Step 2: Convert to fraction form
    65,830.68/98,721.54 = 23,699.34/x
  3. Step 3: Cross multiply
    65,830.68x = 98,721.54 × 23,699.34
  4. Step 4: Simplify right side
    65,830.68x = 2,339,635,341.78
  5. Step 5: Solve for x
    x = 2,339,635,341.78/65,830.68
  6. Step 6: Final answer
    x = 35,540.20

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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.