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Finding the Fourth Proportional to 31,269.52, 46,896.72 and 9,076.87

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Solution

The fourth proportional to 31,269.52, 46,896.72 and 9,076.87 is: 13,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269.52 : 46,896.72 = 9,076.87 : x
  2. Step 2: Convert to fraction form
    31,269.52/46,896.72 = 9,076.87/x
  3. Step 3: Cross multiply
    31,269.52x = 46,896.72 × 9,076.87
  4. Step 4: Simplify right side
    31,269.52x = 425,675,430.87
  5. Step 5: Solve for x
    x = 425,675,430.87/31,269.52
  6. Step 6: Final answer
    x = 13,613.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.