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Finding the Fourth Proportional to 43,224, 59,649.12 and 23,352

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Solution

The fourth proportional to 43,224, 59,649.12 and 23,352 is: 32,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,224 : 59,649.12 = 23,352 : x
  2. Step 2: Convert to fraction form
    43,224/59,649.12 = 23,352/x
  3. Step 3: Cross multiply
    43,224x = 59,649.12 × 23,352
  4. Step 4: Simplify right side
    43,224x = 1,392,926,250.24
  5. Step 5: Solve for x
    x = 1,392,926,250.24/43,224
  6. Step 6: Final answer
    x = 32,225.76

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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.