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Finding the Fourth Proportional to 51,415.68, 70,926.16 and 31,278.72

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Solution

The fourth proportional to 51,415.68, 70,926.16 and 31,278.72 is: 43,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.68 : 70,926.16 = 31,278.72 : x
  2. Step 2: Convert to fraction form
    51,415.68/70,926.16 = 31,278.72/x
  3. Step 3: Cross multiply
    51,415.68x = 70,926.16 × 31,278.72
  4. Step 4: Simplify right side
    51,415.68x = 2,218,479,499.32
  5. Step 5: Solve for x
    x = 2,218,479,499.32/51,415.68
  6. Step 6: Final answer
    x = 43,147.92

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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.