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Finding the Fourth Proportional to 39,773.12, 54,897.12 and 23,015.84

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Solution

The fourth proportional to 39,773.12, 54,897.12 and 23,015.84 is: 31,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,773.12 : 54,897.12 = 23,015.84 : x
  2. Step 2: Convert to fraction form
    39,773.12/54,897.12 = 23,015.84/x
  3. Step 3: Cross multiply
    39,773.12x = 54,897.12 × 23,015.84
  4. Step 4: Simplify right side
    39,773.12x = 1,263,503,330.38
  5. Step 5: Solve for x
    x = 1,263,503,330.38/39,773.12
  6. Step 6: Final answer
    x = 31,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.