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Finding the Fourth Proportional to 37,752.16, 52,104 and 21,846.28

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Solution

The fourth proportional to 37,752.16, 52,104 and 21,846.28 is: 30,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.16 : 52,104 = 21,846.28 : x
  2. Step 2: Convert to fraction form
    37,752.16/52,104 = 21,846.28/x
  3. Step 3: Cross multiply
    37,752.16x = 52,104 × 21,846.28
  4. Step 4: Simplify right side
    37,752.16x = 1,138,278,573.12
  5. Step 5: Solve for x
    x = 1,138,278,573.12/37,752.16
  6. Step 6: Final answer
    x = 30,151.35

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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.