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Finding the Fourth Proportional to 32,453, 44,785.14 and 17,549

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Solution

The fourth proportional to 32,453, 44,785.14 and 17,549 is: 24,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453 : 44,785.14 = 17,549 : x
  2. Step 2: Convert to fraction form
    32,453/44,785.14 = 17,549/x
  3. Step 3: Cross multiply
    32,453x = 44,785.14 × 17,549
  4. Step 4: Simplify right side
    32,453x = 785,934,465.73
  5. Step 5: Solve for x
    x = 785,934,465.73/32,453
  6. Step 6: Final answer
    x = 24,217.62

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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.