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Finding the Fourth Proportional to 31,226.56, 46,802.84 and 14,552.08

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Solution

The fourth proportional to 31,226.56, 46,802.84 and 14,552.08 is: 21,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,226.56 : 46,802.84 = 14,552.08 : x
  2. Step 2: Convert to fraction form
    31,226.56/46,802.84 = 14,552.08/x
  3. Step 3: Cross multiply
    31,226.56x = 46,802.84 × 14,552.08
  4. Step 4: Simplify right side
    31,226.56x = 681,078,671.91
  5. Step 5: Solve for x
    x = 681,078,671.91/31,226.56
  6. Step 6: Final answer
    x = 21,810.88

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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.