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Finding the Fourth Proportional to 46,121.18, 69,191.49 and 14,954

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Solution

The fourth proportional to 46,121.18, 69,191.49 and 14,954 is: 22,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,121.18 : 69,191.49 = 14,954 : x
  2. Step 2: Convert to fraction form
    46,121.18/69,191.49 = 14,954/x
  3. Step 3: Cross multiply
    46,121.18x = 69,191.49 × 14,954
  4. Step 4: Simplify right side
    46,121.18x = 1,034,689,541.46
  5. Step 5: Solve for x
    x = 1,034,689,541.46/46,121.18
  6. Step 6: Final answer
    x = 22,434.15

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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.