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Finding the Fourth Proportional to 31,314.13, 46,969.07 and 14,677.88

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Solution

The fourth proportional to 31,314.13, 46,969.07 and 14,677.88 is: 22,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.13 : 46,969.07 = 14,677.88 : x
  2. Step 2: Convert to fraction form
    31,314.13/46,969.07 = 14,677.88/x
  3. Step 3: Cross multiply
    31,314.13x = 46,969.07 × 14,677.88
  4. Step 4: Simplify right side
    31,314.13x = 689,406,064.94
  5. Step 5: Solve for x
    x = 689,406,064.94/31,314.13
  6. Step 6: Final answer
    x = 22,015.82

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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.