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Finding the Fourth Proportional to 32,832, 45,308.40 and 17,928

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Solution

The fourth proportional to 32,832, 45,308.40 and 17,928 is: 24,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 45,308.40 = 17,928 : x
  2. Step 2: Convert to fraction form
    32,832/45,308.40 = 17,928/x
  3. Step 3: Cross multiply
    32,832x = 45,308.40 × 17,928
  4. Step 4: Simplify right side
    32,832x = 812,288,995.20
  5. Step 5: Solve for x
    x = 812,288,995.20/32,832
  6. Step 6: Final answer
    x = 24,740.77

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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.