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Finding the Fourth Proportional to 47,712.40, 65,849.24 and 28,849.54

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Solution

The fourth proportional to 47,712.40, 65,849.24 and 28,849.54 is: 39,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.40 : 65,849.24 = 28,849.54 : x
  2. Step 2: Convert to fraction form
    47,712.40/65,849.24 = 28,849.54/x
  3. Step 3: Cross multiply
    47,712.40x = 65,849.24 × 28,849.54
  4. Step 4: Simplify right side
    47,712.40x = 1,899,720,283.35
  5. Step 5: Solve for x
    x = 1,899,720,283.35/47,712.40
  6. Step 6: Final answer
    x = 39,816.07

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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.