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Finding the Fourth Proportional to 32,428, 44,750.64 and 17,524

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Solution

The fourth proportional to 32,428, 44,750.64 and 17,524 is: 24,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428 : 44,750.64 = 17,524 : x
  2. Step 2: Convert to fraction form
    32,428/44,750.64 = 17,524/x
  3. Step 3: Cross multiply
    32,428x = 44,750.64 × 17,524
  4. Step 4: Simplify right side
    32,428x = 784,210,215.36
  5. Step 5: Solve for x
    x = 784,210,215.36/32,428
  6. Step 6: Final answer
    x = 24,183.12

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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.