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Finding the Fourth Proportional to 65,059.97, 97,590.65 and 22,932.20

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Solution

The fourth proportional to 65,059.97, 97,590.65 and 22,932.20 is: 34,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059.97 : 97,590.65 = 22,932.20 : x
  2. Step 2: Convert to fraction form
    65,059.97/97,590.65 = 22,932.20/x
  3. Step 3: Cross multiply
    65,059.97x = 97,590.65 × 22,932.20
  4. Step 4: Simplify right side
    65,059.97x = 2,237,968,360.51
  5. Step 5: Solve for x
    x = 2,237,968,360.51/65,059.97
  6. Step 6: Final answer
    x = 34,398.54

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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.