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Finding the Fourth Proportional to 37,034.64, 51,106.50 and 21,124.17

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Solution

The fourth proportional to 37,034.64, 51,106.50 and 21,124.17 is: 29,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,034.64 : 51,106.50 = 21,124.17 : x
  2. Step 2: Convert to fraction form
    37,034.64/51,106.50 = 21,124.17/x
  3. Step 3: Cross multiply
    37,034.64x = 51,106.50 × 21,124.17
  4. Step 4: Simplify right side
    37,034.64x = 1,079,582,394.11
  5. Step 5: Solve for x
    x = 1,079,582,394.11/37,034.64
  6. Step 6: Final answer
    x = 29,150.61

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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.