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Finding the Fourth Proportional to 46,471.57, 69,707.59 and 11,411.24

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Solution

The fourth proportional to 46,471.57, 69,707.59 and 11,411.24 is: 17,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,471.57 : 69,707.59 = 11,411.24 : x
  2. Step 2: Convert to fraction form
    46,471.57/69,707.59 = 11,411.24/x
  3. Step 3: Cross multiply
    46,471.57x = 69,707.59 × 11,411.24
  4. Step 4: Simplify right side
    46,471.57x = 795,449,662.25
  5. Step 5: Solve for x
    x = 795,449,662.25/46,471.57
  6. Step 6: Final answer
    x = 17,116.91

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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.