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Finding the Fourth Proportional to 32,947.71, 45,467.75 and 17,840.38

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Solution

The fourth proportional to 32,947.71, 45,467.75 and 17,840.38 is: 24,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.71 : 45,467.75 = 17,840.38 : x
  2. Step 2: Convert to fraction form
    32,947.71/45,467.75 = 17,840.38/x
  3. Step 3: Cross multiply
    32,947.71x = 45,467.75 × 17,840.38
  4. Step 4: Simplify right side
    32,947.71x = 811,161,937.75
  5. Step 5: Solve for x
    x = 811,161,937.75/32,947.71
  6. Step 6: Final answer
    x = 24,619.68

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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.