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Finding the Fourth Proportional to 32,931, 45,445.50 and 18,027

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Solution

The fourth proportional to 32,931, 45,445.50 and 18,027 is: 24,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931 : 45,445.50 = 18,027 : x
  2. Step 2: Convert to fraction form
    32,931/45,445.50 = 18,027/x
  3. Step 3: Cross multiply
    32,931x = 45,445.50 × 18,027
  4. Step 4: Simplify right side
    32,931x = 819,246,028.50
  5. Step 5: Solve for x
    x = 819,246,028.50/32,931
  6. Step 6: Final answer
    x = 24,877.65

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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.