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Finding the Fourth Proportional to 37,818, 52,201.80 and 22,914

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Solution

The fourth proportional to 37,818, 52,201.80 and 22,914 is: 31,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818 : 52,201.80 = 22,914 : x
  2. Step 2: Convert to fraction form
    37,818/52,201.80 = 22,914/x
  3. Step 3: Cross multiply
    37,818x = 52,201.80 × 22,914
  4. Step 4: Simplify right side
    37,818x = 1,196,152,045.20
  5. Step 5: Solve for x
    x = 1,196,152,045.20/37,818
  6. Step 6: Final answer
    x = 31,629.17

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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.