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Finding the Fourth Proportional to 29,600, 40,848 and 16,352

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Solution

The fourth proportional to 29,600, 40,848 and 16,352 is: 22,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600 : 40,848 = 16,352 : x
  2. Step 2: Convert to fraction form
    29,600/40,848 = 16,352/x
  3. Step 3: Cross multiply
    29,600x = 40,848 × 16,352
  4. Step 4: Simplify right side
    29,600x = 667,946,496
  5. Step 5: Solve for x
    x = 667,946,496/29,600
  6. Step 6: Final answer
    x = 22,565.76

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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.