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Finding the Fourth Proportional to 46,021.32, 69,046.56 and 14,859

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Solution

The fourth proportional to 46,021.32, 69,046.56 and 14,859 is: 22,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,021.32 : 69,046.56 = 14,859 : x
  2. Step 2: Convert to fraction form
    46,021.32/69,046.56 = 14,859/x
  3. Step 3: Cross multiply
    46,021.32x = 69,046.56 × 14,859
  4. Step 4: Simplify right side
    46,021.32x = 1,025,962,835.04
  5. Step 5: Solve for x
    x = 1,025,962,835.04/46,021.32
  6. Step 6: Final answer
    x = 22,293.21

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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.