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Finding the Fourth Proportional to 32,759, 45,207.44 and 17,855

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Solution

The fourth proportional to 32,759, 45,207.44 and 17,855 is: 24,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759 : 45,207.44 = 17,855 : x
  2. Step 2: Convert to fraction form
    32,759/45,207.44 = 17,855/x
  3. Step 3: Cross multiply
    32,759x = 45,207.44 × 17,855
  4. Step 4: Simplify right side
    32,759x = 807,178,841.20
  5. Step 5: Solve for x
    x = 807,178,841.20/32,759
  6. Step 6: Final answer
    x = 24,639.91

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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.