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Finding the Fourth Proportional to 35,400.64, 48,845.04 and 20,488

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Solution

The fourth proportional to 35,400.64, 48,845.04 and 20,488 is: 28,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,400.64 : 48,845.04 = 20,488 : x
  2. Step 2: Convert to fraction form
    35,400.64/48,845.04 = 20,488/x
  3. Step 3: Cross multiply
    35,400.64x = 48,845.04 × 20,488
  4. Step 4: Simplify right side
    35,400.64x = 1,000,737,179.52
  5. Step 5: Solve for x
    x = 1,000,737,179.52/35,400.64
  6. Step 6: Final answer
    x = 28,268.90

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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.