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Finding the Fourth Proportional to 37,175.61, 51,303.25 and 20,179.81

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Solution

The fourth proportional to 37,175.61, 51,303.25 and 20,179.81 is: 27,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175.61 : 51,303.25 = 20,179.81 : x
  2. Step 2: Convert to fraction form
    37,175.61/51,303.25 = 20,179.81/x
  3. Step 3: Cross multiply
    37,175.61x = 51,303.25 × 20,179.81
  4. Step 4: Simplify right side
    37,175.61x = 1,035,289,837.38
  5. Step 5: Solve for x
    x = 1,035,289,837.38/37,175.61
  6. Step 6: Final answer
    x = 27,848.63

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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.