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Finding the Fourth Proportional to 32,808, 45,275.20 and 17,904

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Solution

The fourth proportional to 32,808, 45,275.20 and 17,904 is: 24,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808 : 45,275.20 = 17,904 : x
  2. Step 2: Convert to fraction form
    32,808/45,275.20 = 17,904/x
  3. Step 3: Cross multiply
    32,808x = 45,275.20 × 17,904
  4. Step 4: Simplify right side
    32,808x = 810,607,180.80
  5. Step 5: Solve for x
    x = 810,607,180.80/32,808
  6. Step 6: Final answer
    x = 24,707.61

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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.