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Finding the Fourth Proportional to 32,101.38, 44,296.47 and 17,952.30

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Solution

The fourth proportional to 32,101.38, 44,296.47 and 17,952.30 is: 24,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.38 : 44,296.47 = 17,952.30 : x
  2. Step 2: Convert to fraction form
    32,101.38/44,296.47 = 17,952.30/x
  3. Step 3: Cross multiply
    32,101.38x = 44,296.47 × 17,952.30
  4. Step 4: Simplify right side
    32,101.38x = 795,223,518.38
  5. Step 5: Solve for x
    x = 795,223,518.38/32,101.38
  6. Step 6: Final answer
    x = 24,772.25

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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.