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Finding the Fourth Proportional to 37,309.38, 51,470.74 and 21,390.18

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Solution

The fourth proportional to 37,309.38, 51,470.74 and 21,390.18 is: 29,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.38 : 51,470.74 = 21,390.18 : x
  2. Step 2: Convert to fraction form
    37,309.38/51,470.74 = 21,390.18/x
  3. Step 3: Cross multiply
    37,309.38x = 51,470.74 × 21,390.18
  4. Step 4: Simplify right side
    37,309.38x = 1,100,968,393.33
  5. Step 5: Solve for x
    x = 1,100,968,393.33/37,309.38
  6. Step 6: Final answer
    x = 29,509.16

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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.