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Finding the Fourth Proportional to 54,320.50, 81,477.06 and 14,878

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Solution

The fourth proportional to 54,320.50, 81,477.06 and 14,878 is: 22,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,320.50 : 81,477.06 = 14,878 : x
  2. Step 2: Convert to fraction form
    54,320.50/81,477.06 = 14,878/x
  3. Step 3: Cross multiply
    54,320.50x = 81,477.06 × 14,878
  4. Step 4: Simplify right side
    54,320.50x = 1,212,215,698.68
  5. Step 5: Solve for x
    x = 1,212,215,698.68/54,320.50
  6. Step 6: Final answer
    x = 22,315.99

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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.