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Finding the Fourth Proportional to 37,156.50, 51,275.30 and 21,023.64

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Solution

The fourth proportional to 37,156.50, 51,275.30 and 21,023.64 is: 29,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156.50 : 51,275.30 = 21,023.64 : x
  2. Step 2: Convert to fraction form
    37,156.50/51,275.30 = 21,023.64/x
  3. Step 3: Cross multiply
    37,156.50x = 51,275.30 × 21,023.64
  4. Step 4: Simplify right side
    37,156.50x = 1,077,993,342.97
  5. Step 5: Solve for x
    x = 1,077,993,342.97/37,156.50
  6. Step 6: Final answer
    x = 29,012.24

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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.