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Finding the Fourth Proportional to 33,572.80, 46,302.24 and 28,280

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Solution

The fourth proportional to 33,572.80, 46,302.24 and 28,280 is: 39,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,572.80 : 46,302.24 = 28,280 : x
  2. Step 2: Convert to fraction form
    33,572.80/46,302.24 = 28,280/x
  3. Step 3: Cross multiply
    33,572.80x = 46,302.24 × 28,280
  4. Step 4: Simplify right side
    33,572.80x = 1,309,427,347.20
  5. Step 5: Solve for x
    x = 1,309,427,347.20/33,572.80
  6. Step 6: Final answer
    x = 39,002.63

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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.