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Finding the Fourth Proportional to 128,152.51, 192,228.86 and 33,382.46

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Solution

The fourth proportional to 128,152.51, 192,228.86 and 33,382.46 is: 50,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,152.51 : 192,228.86 = 33,382.46 : x
  2. Step 2: Convert to fraction form
    128,152.51/192,228.86 = 33,382.46/x
  3. Step 3: Cross multiply
    128,152.51x = 192,228.86 × 33,382.46
  4. Step 4: Simplify right side
    128,152.51x = 6,417,072,793.82
  5. Step 5: Solve for x
    x = 6,417,072,793.82/128,152.51
  6. Step 6: Final answer
    x = 50,073.72

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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.