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Finding the Fourth Proportional to 31,567.63, 47,092.71 and 30,709.57

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Solution

The fourth proportional to 31,567.63, 47,092.71 and 30,709.57 is: 45,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.63 : 47,092.71 = 30,709.57 : x
  2. Step 2: Convert to fraction form
    31,567.63/47,092.71 = 30,709.57/x
  3. Step 3: Cross multiply
    31,567.63x = 47,092.71 × 30,709.57
  4. Step 4: Simplify right side
    31,567.63x = 1,446,196,874.23
  5. Step 5: Solve for x
    x = 1,446,196,874.23/31,567.63
  6. Step 6: Final answer
    x = 45,812.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.