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Finding the Fourth Proportional to 32,932, 45,446.16 and 18,028

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Solution

The fourth proportional to 32,932, 45,446.16 and 18,028 is: 24,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932 : 45,446.16 = 18,028 : x
  2. Step 2: Convert to fraction form
    32,932/45,446.16 = 18,028/x
  3. Step 3: Cross multiply
    32,932x = 45,446.16 × 18,028
  4. Step 4: Simplify right side
    32,932x = 819,303,372.48
  5. Step 5: Solve for x
    x = 819,303,372.48/32,932
  6. Step 6: Final answer
    x = 24,878.64

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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.