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Finding the Fourth Proportional to 32,478, 44,819.76 and 17,574

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Solution

The fourth proportional to 32,478, 44,819.76 and 17,574 is: 24,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478 : 44,819.76 = 17,574 : x
  2. Step 2: Convert to fraction form
    32,478/44,819.76 = 17,574/x
  3. Step 3: Cross multiply
    32,478x = 44,819.76 × 17,574
  4. Step 4: Simplify right side
    32,478x = 787,662,462.24
  5. Step 5: Solve for x
    x = 787,662,462.24/32,478
  6. Step 6: Final answer
    x = 24,252.18

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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.