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Finding the Fourth Proportional to 32,838.32, 45,331.80 and 20,918

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Solution

The fourth proportional to 32,838.32, 45,331.80 and 20,918 is: 28,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.32 : 45,331.80 = 20,918 : x
  2. Step 2: Convert to fraction form
    32,838.32/45,331.80 = 20,918/x
  3. Step 3: Cross multiply
    32,838.32x = 45,331.80 × 20,918
  4. Step 4: Simplify right side
    32,838.32x = 948,250,592.40
  5. Step 5: Solve for x
    x = 948,250,592.40/32,838.32
  6. Step 6: Final answer
    x = 28,876.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.