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Finding the Fourth Proportional to 32,265.80, 44,537.70 and 20,349

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Solution

The fourth proportional to 32,265.80, 44,537.70 and 20,349 is: 28,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265.80 : 44,537.70 = 20,349 : x
  2. Step 2: Convert to fraction form
    32,265.80/44,537.70 = 20,349/x
  3. Step 3: Cross multiply
    32,265.80x = 44,537.70 × 20,349
  4. Step 4: Simplify right side
    32,265.80x = 906,297,657.30
  5. Step 5: Solve for x
    x = 906,297,657.30/32,265.80
  6. Step 6: Final answer
    x = 28,088.49

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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.