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Finding the Fourth Proportional to 37,813.40, 52,184.22 and 21,047.48

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Solution

The fourth proportional to 37,813.40, 52,184.22 and 21,047.48 is: 29,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.40 : 52,184.22 = 21,047.48 : x
  2. Step 2: Convert to fraction form
    37,813.40/52,184.22 = 21,047.48/x
  3. Step 3: Cross multiply
    37,813.40x = 52,184.22 × 21,047.48
  4. Step 4: Simplify right side
    37,813.40x = 1,098,346,326.77
  5. Step 5: Solve for x
    x = 1,098,346,326.77/37,813.40
  6. Step 6: Final answer
    x = 29,046.48

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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.