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Finding the Fourth Proportional to 32,818, 45,288.84 and 17,914

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Solution

The fourth proportional to 32,818, 45,288.84 and 17,914 is: 24,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,818 : 45,288.84 = 17,914 : x
  2. Step 2: Convert to fraction form
    32,818/45,288.84 = 17,914/x
  3. Step 3: Cross multiply
    32,818x = 45,288.84 × 17,914
  4. Step 4: Simplify right side
    32,818x = 811,304,279.76
  5. Step 5: Solve for x
    x = 811,304,279.76/32,818
  6. Step 6: Final answer
    x = 24,721.32

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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.