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Finding the Fourth Proportional to 138,710.06, 208,065.12 and 33,529.02

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Solution

The fourth proportional to 138,710.06, 208,065.12 and 33,529.02 is: 50,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,710.06 : 208,065.12 = 33,529.02 : x
  2. Step 2: Convert to fraction form
    138,710.06/208,065.12 = 33,529.02/x
  3. Step 3: Cross multiply
    138,710.06x = 208,065.12 × 33,529.02
  4. Step 4: Simplify right side
    138,710.06x = 6,976,219,569.78
  5. Step 5: Solve for x
    x = 6,976,219,569.78/138,710.06
  6. Step 6: Final answer
    x = 50,293.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.