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Finding the Fourth Proportional to 55,301.38, 82,952 and 13,748.38

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Solution

The fourth proportional to 55,301.38, 82,952 and 13,748.38 is: 20,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,301.38 : 82,952 = 13,748.38 : x
  2. Step 2: Convert to fraction form
    55,301.38/82,952 = 13,748.38/x
  3. Step 3: Cross multiply
    55,301.38x = 82,952 × 13,748.38
  4. Step 4: Simplify right side
    55,301.38x = 1,140,455,617.76
  5. Step 5: Solve for x
    x = 1,140,455,617.76/55,301.38
  6. Step 6: Final answer
    x = 20,622.55

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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.