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Finding the Fourth Proportional to 37,673.66, 51,985.22 and 22,357.82

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Solution

The fourth proportional to 37,673.66, 51,985.22 and 22,357.82 is: 30,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,673.66 : 51,985.22 = 22,357.82 : x
  2. Step 2: Convert to fraction form
    37,673.66/51,985.22 = 22,357.82/x
  3. Step 3: Cross multiply
    37,673.66x = 51,985.22 × 22,357.82
  4. Step 4: Simplify right side
    37,673.66x = 1,162,276,272.48
  5. Step 5: Solve for x
    x = 1,162,276,272.48/37,673.66
  6. Step 6: Final answer
    x = 30,851.17

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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.