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Finding the Fourth Proportional to 55,476.82, 83,211.99 and 16,033.06

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Solution

The fourth proportional to 55,476.82, 83,211.99 and 16,033.06 is: 24,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476.82 : 83,211.99 = 16,033.06 : x
  2. Step 2: Convert to fraction form
    55,476.82/83,211.99 = 16,033.06/x
  3. Step 3: Cross multiply
    55,476.82x = 83,211.99 × 16,033.06
  4. Step 4: Simplify right side
    55,476.82x = 1,334,142,828.39
  5. Step 5: Solve for x
    x = 1,334,142,828.39/55,476.82
  6. Step 6: Final answer
    x = 24,048.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.