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Finding the Fourth Proportional to 37,904, 56,876.48 and 18,448

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Solution

The fourth proportional to 37,904, 56,876.48 and 18,448 is: 27,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,904 : 56,876.48 = 18,448 : x
  2. Step 2: Convert to fraction form
    37,904/56,876.48 = 18,448/x
  3. Step 3: Cross multiply
    37,904x = 56,876.48 × 18,448
  4. Step 4: Simplify right side
    37,904x = 1,049,257,303.04
  5. Step 5: Solve for x
    x = 1,049,257,303.04/37,904
  6. Step 6: Final answer
    x = 27,681.97

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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.