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Finding the Fourth Proportional to 55,527.64, 83,282.82 and 18,583

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Solution

The fourth proportional to 55,527.64, 83,282.82 and 18,583 is: 27,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,527.64 : 83,282.82 = 18,583 : x
  2. Step 2: Convert to fraction form
    55,527.64/83,282.82 = 18,583/x
  3. Step 3: Cross multiply
    55,527.64x = 83,282.82 × 18,583
  4. Step 4: Simplify right side
    55,527.64x = 1,547,644,644.06
  5. Step 5: Solve for x
    x = 1,547,644,644.06/55,527.64
  6. Step 6: Final answer
    x = 27,871.61

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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.