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Finding the Fourth Proportional to 138,594.07, 207,889.28 and 33,412.19

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Solution

The fourth proportional to 138,594.07, 207,889.28 and 33,412.19 is: 50,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,594.07 : 207,889.28 = 33,412.19 : x
  2. Step 2: Convert to fraction form
    138,594.07/207,889.28 = 33,412.19/x
  3. Step 3: Cross multiply
    138,594.07x = 207,889.28 × 33,412.19
  4. Step 4: Simplify right side
    138,594.07x = 6,946,036,600.28
  5. Step 5: Solve for x
    x = 6,946,036,600.28/138,594.07
  6. Step 6: Final answer
    x = 50,117.85

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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.