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Finding the Fourth Proportional to 37,641.36, 51,826.86 and 31,964.16

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Solution

The fourth proportional to 37,641.36, 51,826.86 and 31,964.16 is: 44,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.36 : 51,826.86 = 31,964.16 : x
  2. Step 2: Convert to fraction form
    37,641.36/51,826.86 = 31,964.16/x
  3. Step 3: Cross multiply
    37,641.36x = 51,826.86 × 31,964.16
  4. Step 4: Simplify right side
    37,641.36x = 1,656,602,045.34
  5. Step 5: Solve for x
    x = 1,656,602,045.34/37,641.36
  6. Step 6: Final answer
    x = 44,010.15

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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.