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Finding the Fourth Proportional to 55,613.84, 83,428.89 and 16,165.83

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Solution

The fourth proportional to 55,613.84, 83,428.89 and 16,165.83 is: 24,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,613.84 : 83,428.89 = 16,165.83 : x
  2. Step 2: Convert to fraction form
    55,613.84/83,428.89 = 16,165.83/x
  3. Step 3: Cross multiply
    55,613.84x = 83,428.89 × 16,165.83
  4. Step 4: Simplify right side
    55,613.84x = 1,348,697,252.83
  5. Step 5: Solve for x
    x = 1,348,697,252.83/55,613.84
  6. Step 6: Final answer
    x = 24,251.11

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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.