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Finding the Fourth Proportional to 55,300.16, 82,950.29 and 13,747.16

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Solution

The fourth proportional to 55,300.16, 82,950.29 and 13,747.16 is: 20,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300.16 : 82,950.29 = 13,747.16 : x
  2. Step 2: Convert to fraction form
    55,300.16/82,950.29 = 13,747.16/x
  3. Step 3: Cross multiply
    55,300.16x = 82,950.29 × 13,747.16
  4. Step 4: Simplify right side
    55,300.16x = 1,140,330,425.19
  5. Step 5: Solve for x
    x = 1,140,330,425.19/55,300.16
  6. Step 6: Final answer
    x = 20,620.75

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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.