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Finding the Fourth Proportional to 55,569, 83,353.50 and 14,016

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Solution

The fourth proportional to 55,569, 83,353.50 and 14,016 is: 21,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,569 : 83,353.50 = 14,016 : x
  2. Step 2: Convert to fraction form
    55,569/83,353.50 = 14,016/x
  3. Step 3: Cross multiply
    55,569x = 83,353.50 × 14,016
  4. Step 4: Simplify right side
    55,569x = 1,168,282,656
  5. Step 5: Solve for x
    x = 1,168,282,656/55,569
  6. Step 6: Final answer
    x = 21,024

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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.