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Finding the Fourth Proportional to 75,111.92, 112,674.02 and 25,192.43

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Solution

The fourth proportional to 75,111.92, 112,674.02 and 25,192.43 is: 37,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111.92 : 112,674.02 = 25,192.43 : x
  2. Step 2: Convert to fraction form
    75,111.92/112,674.02 = 25,192.43/x
  3. Step 3: Cross multiply
    75,111.92x = 112,674.02 × 25,192.43
  4. Step 4: Simplify right side
    75,111.92x = 2,838,531,672.34
  5. Step 5: Solve for x
    x = 2,838,531,672.34/75,111.92
  6. Step 6: Final answer
    x = 37,790.70

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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.