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Finding the Fourth Proportional to 49,225.93, 67,927.72 and 27,717.64

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Solution

The fourth proportional to 49,225.93, 67,927.72 and 27,717.64 is: 38,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,225.93 : 67,927.72 = 27,717.64 : x
  2. Step 2: Convert to fraction form
    49,225.93/67,927.72 = 27,717.64/x
  3. Step 3: Cross multiply
    49,225.93x = 67,927.72 × 27,717.64
  4. Step 4: Simplify right side
    49,225.93x = 1,882,796,088.98
  5. Step 5: Solve for x
    x = 1,882,796,088.98/49,225.93
  6. Step 6: Final answer
    x = 38,248.06

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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.