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Finding the Fourth Proportional to 50,226, 69,315.12 and 27,870

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Solution

The fourth proportional to 50,226, 69,315.12 and 27,870 is: 38,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,226 : 69,315.12 = 27,870 : x
  2. Step 2: Convert to fraction form
    50,226/69,315.12 = 27,870/x
  3. Step 3: Cross multiply
    50,226x = 69,315.12 × 27,870
  4. Step 4: Simplify right side
    50,226x = 1,931,812,394.40
  5. Step 5: Solve for x
    x = 1,931,812,394.40/50,226
  6. Step 6: Final answer
    x = 38,462.40

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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.