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Finding the Fourth Proportional to 43,270, 59,712.61 and 23,398

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Solution

The fourth proportional to 43,270, 59,712.61 and 23,398 is: 32,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,270 : 59,712.61 = 23,398 : x
  2. Step 2: Convert to fraction form
    43,270/59,712.61 = 23,398/x
  3. Step 3: Cross multiply
    43,270x = 59,712.61 × 23,398
  4. Step 4: Simplify right side
    43,270x = 1,397,155,648.78
  5. Step 5: Solve for x
    x = 1,397,155,648.78/43,270
  6. Step 6: Final answer
    x = 32,289.25

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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.