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Finding the Fourth Proportional to 37,138.80, 51,248.32 and 21,823.72

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Solution

The fourth proportional to 37,138.80, 51,248.32 and 21,823.72 is: 30,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.80 : 51,248.32 = 21,823.72 : x
  2. Step 2: Convert to fraction form
    37,138.80/51,248.32 = 21,823.72/x
  3. Step 3: Cross multiply
    37,138.80x = 51,248.32 × 21,823.72
  4. Step 4: Simplify right side
    37,138.80x = 1,118,428,986.15
  5. Step 5: Solve for x
    x = 1,118,428,986.15/37,138.80
  6. Step 6: Final answer
    x = 30,114.84

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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.