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Finding the Fourth Proportional to 37,271.80, 51,438 and 21,360.16

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Solution

The fourth proportional to 37,271.80, 51,438 and 21,360.16 is: 29,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,271.80 : 51,438 = 21,360.16 : x
  2. Step 2: Convert to fraction form
    37,271.80/51,438 = 21,360.16/x
  3. Step 3: Cross multiply
    37,271.80x = 51,438 × 21,360.16
  4. Step 4: Simplify right side
    37,271.80x = 1,098,723,910.08
  5. Step 5: Solve for x
    x = 1,098,723,910.08/37,271.80
  6. Step 6: Final answer
    x = 29,478.69

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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.