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Finding the Fourth Proportional to 32,474, 44,814.12 and 17,570

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Solution

The fourth proportional to 32,474, 44,814.12 and 17,570 is: 24,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474 : 44,814.12 = 17,570 : x
  2. Step 2: Convert to fraction form
    32,474/44,814.12 = 17,570/x
  3. Step 3: Cross multiply
    32,474x = 44,814.12 × 17,570
  4. Step 4: Simplify right side
    32,474x = 787,384,088.40
  5. Step 5: Solve for x
    x = 787,384,088.40/32,474
  6. Step 6: Final answer
    x = 24,246.60

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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.