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Finding the Fourth Proportional to 127,808.29, 191,711.31 and 33,030.37

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Solution

The fourth proportional to 127,808.29, 191,711.31 and 33,030.37 is: 49,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,808.29 : 191,711.31 = 33,030.37 : x
  2. Step 2: Convert to fraction form
    127,808.29/191,711.31 = 33,030.37/x
  3. Step 3: Cross multiply
    127,808.29x = 191,711.31 × 33,030.37
  4. Step 4: Simplify right side
    127,808.29x = 6,332,295,502.48
  5. Step 5: Solve for x
    x = 6,332,295,502.48/127,808.29
  6. Step 6: Final answer
    x = 49,545.26

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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.