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Finding the Fourth Proportional to 32,352.38, 44,646.96 and 18,205.22

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Solution

The fourth proportional to 32,352.38, 44,646.96 and 18,205.22 is: 25,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352.38 : 44,646.96 = 18,205.22 : x
  2. Step 2: Convert to fraction form
    32,352.38/44,646.96 = 18,205.22/x
  3. Step 3: Cross multiply
    32,352.38x = 44,646.96 × 18,205.22
  4. Step 4: Simplify right side
    32,352.38x = 812,807,729.13
  5. Step 5: Solve for x
    x = 812,807,729.13/32,352.38
  6. Step 6: Final answer
    x = 25,123.58

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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.