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Finding the Fourth Proportional to 37,800.12, 52,164.18 and 21,033

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Solution

The fourth proportional to 37,800.12, 52,164.18 and 21,033 is: 29,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800.12 : 52,164.18 = 21,033 : x
  2. Step 2: Convert to fraction form
    37,800.12/52,164.18 = 21,033/x
  3. Step 3: Cross multiply
    37,800.12x = 52,164.18 × 21,033
  4. Step 4: Simplify right side
    37,800.12x = 1,097,169,197.94
  5. Step 5: Solve for x
    x = 1,097,169,197.94/37,800.12
  6. Step 6: Final answer
    x = 29,025.55

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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.