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Finding the Fourth Proportional to 31,196.59, 46,813.41 and 11,488.97

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Solution

The fourth proportional to 31,196.59, 46,813.41 and 11,488.97 is: 17,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.59 : 46,813.41 = 11,488.97 : x
  2. Step 2: Convert to fraction form
    31,196.59/46,813.41 = 11,488.97/x
  3. Step 3: Cross multiply
    31,196.59x = 46,813.41 × 11,488.97
  4. Step 4: Simplify right side
    31,196.59x = 537,837,980.12
  5. Step 5: Solve for x
    x = 537,837,980.12/31,196.59
  6. Step 6: Final answer
    x = 17,240.28

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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.