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Finding the Fourth Proportional to 43,382, 59,867.20 and 23,510

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Solution

The fourth proportional to 43,382, 59,867.20 and 23,510 is: 32,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,382 : 59,867.20 = 23,510 : x
  2. Step 2: Convert to fraction form
    43,382/59,867.20 = 23,510/x
  3. Step 3: Cross multiply
    43,382x = 59,867.20 × 23,510
  4. Step 4: Simplify right side
    43,382x = 1,407,477,872
  5. Step 5: Solve for x
    x = 1,407,477,872/43,382
  6. Step 6: Final answer
    x = 32,443.82

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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.