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Finding the Fourth Proportional to 27,875.46, 38,415.03 and 27,363.05

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Solution

The fourth proportional to 27,875.46, 38,415.03 and 27,363.05 is: 37,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.46 : 38,415.03 = 27,363.05 : x
  2. Step 2: Convert to fraction form
    27,875.46/38,415.03 = 27,363.05/x
  3. Step 3: Cross multiply
    27,875.46x = 38,415.03 × 27,363.05
  4. Step 4: Simplify right side
    27,875.46x = 1,051,152,194.57
  5. Step 5: Solve for x
    x = 1,051,152,194.57/27,875.46
  6. Step 6: Final answer
    x = 37,708.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.