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Finding the Fourth Proportional to 37,424.13, 51,644.01 and 22,309

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Solution

The fourth proportional to 37,424.13, 51,644.01 and 22,309 is: 30,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,424.13 : 51,644.01 = 22,309 : x
  2. Step 2: Convert to fraction form
    37,424.13/51,644.01 = 22,309/x
  3. Step 3: Cross multiply
    37,424.13x = 51,644.01 × 22,309
  4. Step 4: Simplify right side
    37,424.13x = 1,152,126,219.09
  5. Step 5: Solve for x
    x = 1,152,126,219.09/37,424.13
  6. Step 6: Final answer
    x = 30,785.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.