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Finding the Fourth Proportional to 37,382, 51,588.12 and 21,469.28

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Solution

The fourth proportional to 37,382, 51,588.12 and 21,469.28 is: 29,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382 : 51,588.12 = 21,469.28 : x
  2. Step 2: Convert to fraction form
    37,382/51,588.12 = 21,469.28/x
  3. Step 3: Cross multiply
    37,382x = 51,588.12 × 21,469.28
  4. Step 4: Simplify right side
    37,382x = 1,107,559,792.95
  5. Step 5: Solve for x
    x = 1,107,559,792.95/37,382
  6. Step 6: Final answer
    x = 29,628.16

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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.