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Finding the Fourth Proportional to 31,114.62, 46,655.52 and 13,563.95

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Solution

The fourth proportional to 31,114.62, 46,655.52 and 13,563.95 is: 20,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.62 : 46,655.52 = 13,563.95 : x
  2. Step 2: Convert to fraction form
    31,114.62/46,655.52 = 13,563.95/x
  3. Step 3: Cross multiply
    31,114.62x = 46,655.52 × 13,563.95
  4. Step 4: Simplify right side
    31,114.62x = 632,832,907.23
  5. Step 5: Solve for x
    x = 632,832,907.23/31,114.62
  6. Step 6: Final answer
    x = 20,338.76

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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.