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Finding the Fourth Proportional to 34,895.76, 52,576.32 and 31,567.84

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Solution

The fourth proportional to 34,895.76, 52,576.32 and 31,567.84 is: 47,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,895.76 : 52,576.32 = 31,567.84 : x
  2. Step 2: Convert to fraction form
    34,895.76/52,576.32 = 31,567.84/x
  3. Step 3: Cross multiply
    34,895.76x = 52,576.32 × 31,567.84
  4. Step 4: Simplify right side
    34,895.76x = 1,659,720,857.55
  5. Step 5: Solve for x
    x = 1,659,720,857.55/34,895.76
  6. Step 6: Final answer
    x = 47,562.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.