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Finding the Fourth Proportional to 35,586.47, 49,114.22 and 20,478.83

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Solution

The fourth proportional to 35,586.47, 49,114.22 and 20,478.83 is: 28,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,586.47 : 49,114.22 = 20,478.83 : x
  2. Step 2: Convert to fraction form
    35,586.47/49,114.22 = 20,478.83/x
  3. Step 3: Cross multiply
    35,586.47x = 49,114.22 × 20,478.83
  4. Step 4: Simplify right side
    35,586.47x = 1,005,801,414.00
  5. Step 5: Solve for x
    x = 1,005,801,414.00/35,586.47
  6. Step 6: Final answer
    x = 28,263.59

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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.