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Finding the Fourth Proportional to 37,564, 51,825.76 and 21,648.16

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Solution

The fourth proportional to 37,564, 51,825.76 and 21,648.16 is: 29,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564 : 51,825.76 = 21,648.16 : x
  2. Step 2: Convert to fraction form
    37,564/51,825.76 = 21,648.16/x
  3. Step 3: Cross multiply
    37,564x = 51,825.76 × 21,648.16
  4. Step 4: Simplify right side
    37,564x = 1,121,932,344.60
  5. Step 5: Solve for x
    x = 1,121,932,344.60/37,564
  6. Step 6: Final answer
    x = 29,867.22

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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.