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Finding the Fourth Proportional to 35,652.48, 49,206.15 and 27,141

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Solution

The fourth proportional to 35,652.48, 49,206.15 and 27,141 is: 37,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652.48 : 49,206.15 = 27,141 : x
  2. Step 2: Convert to fraction form
    35,652.48/49,206.15 = 27,141/x
  3. Step 3: Cross multiply
    35,652.48x = 49,206.15 × 27,141
  4. Step 4: Simplify right side
    35,652.48x = 1,335,504,117.15
  5. Step 5: Solve for x
    x = 1,335,504,117.15/35,652.48
  6. Step 6: Final answer
    x = 37,458.94

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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.