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Finding the Fourth Proportional to 37,920, 52,325.76 and 21,150.08

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Solution

The fourth proportional to 37,920, 52,325.76 and 21,150.08 is: 29,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920 : 52,325.76 = 21,150.08 : x
  2. Step 2: Convert to fraction form
    37,920/52,325.76 = 21,150.08/x
  3. Step 3: Cross multiply
    37,920x = 52,325.76 × 21,150.08
  4. Step 4: Simplify right side
    37,920x = 1,106,694,010.06
  5. Step 5: Solve for x
    x = 1,106,694,010.06/37,920
  6. Step 6: Final answer
    x = 29,184.97

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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.