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Finding the Fourth Proportional to 55,642.84, 83,464.32 and 14,089.84

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Solution

The fourth proportional to 55,642.84, 83,464.32 and 14,089.84 is: 21,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.84 : 83,464.32 = 14,089.84 : x
  2. Step 2: Convert to fraction form
    55,642.84/83,464.32 = 14,089.84/x
  3. Step 3: Cross multiply
    55,642.84x = 83,464.32 × 14,089.84
  4. Step 4: Simplify right side
    55,642.84x = 1,175,998,914.51
  5. Step 5: Solve for x
    x = 1,175,998,914.51/55,642.84
  6. Step 6: Final answer
    x = 21,134.78

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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.