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Finding the Fourth Proportional to 43,454, 59,967.24 and 23,582

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Solution

The fourth proportional to 43,454, 59,967.24 and 23,582 is: 32,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,454 : 59,967.24 = 23,582 : x
  2. Step 2: Convert to fraction form
    43,454/59,967.24 = 23,582/x
  3. Step 3: Cross multiply
    43,454x = 59,967.24 × 23,582
  4. Step 4: Simplify right side
    43,454x = 1,414,147,453.68
  5. Step 5: Solve for x
    x = 1,414,147,453.68/43,454
  6. Step 6: Final answer
    x = 32,543.55

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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.