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Finding the Fourth Proportional to 103,086.32, 154,646.28 and 36,512.01

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Solution

The fourth proportional to 103,086.32, 154,646.28 and 36,512.01 is: 54,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,086.32 : 154,646.28 = 36,512.01 : x
  2. Step 2: Convert to fraction form
    103,086.32/154,646.28 = 36,512.01/x
  3. Step 3: Cross multiply
    103,086.32x = 154,646.28 × 36,512.01
  4. Step 4: Simplify right side
    103,086.32x = 5,646,446,521.82
  5. Step 5: Solve for x
    x = 5,646,446,521.82/103,086.32
  6. Step 6: Final answer
    x = 54,773.97

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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.