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Finding the Fourth Proportional to 43,216, 64,843.52 and 24,748

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Solution

The fourth proportional to 43,216, 64,843.52 and 24,748 is: 37,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216 : 64,843.52 = 24,748 : x
  2. Step 2: Convert to fraction form
    43,216/64,843.52 = 24,748/x
  3. Step 3: Cross multiply
    43,216x = 64,843.52 × 24,748
  4. Step 4: Simplify right side
    43,216x = 1,604,747,432.96
  5. Step 5: Solve for x
    x = 1,604,747,432.96/43,216
  6. Step 6: Final answer
    x = 37,133.18

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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.