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Finding the Fourth Proportional to 27,875.40, 38,471.24 and 19,375.24

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Solution

The fourth proportional to 27,875.40, 38,471.24 and 19,375.24 is: 26,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.40 : 38,471.24 = 19,375.24 : x
  2. Step 2: Convert to fraction form
    27,875.40/38,471.24 = 19,375.24/x
  3. Step 3: Cross multiply
    27,875.40x = 38,471.24 × 19,375.24
  4. Step 4: Simplify right side
    27,875.40x = 745,389,508.10
  5. Step 5: Solve for x
    x = 745,389,508.10/27,875.40
  6. Step 6: Final answer
    x = 26,740.05

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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.