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Finding the Fourth Proportional to 35,652.06, 49,205.10 and 20,541.84

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Solution

The fourth proportional to 35,652.06, 49,205.10 and 20,541.84 is: 28,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652.06 : 49,205.10 = 20,541.84 : x
  2. Step 2: Convert to fraction form
    35,652.06/49,205.10 = 20,541.84/x
  3. Step 3: Cross multiply
    35,652.06x = 49,205.10 × 20,541.84
  4. Step 4: Simplify right side
    35,652.06x = 1,010,763,291.38
  5. Step 5: Solve for x
    x = 1,010,763,291.38/35,652.06
  6. Step 6: Final answer
    x = 28,350.77

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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.