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Finding the Fourth Proportional to 36,688.64, 55,051.28 and 15,642.40

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Solution

The fourth proportional to 36,688.64, 55,051.28 and 15,642.40 is: 23,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,688.64 : 55,051.28 = 15,642.40 : x
  2. Step 2: Convert to fraction form
    36,688.64/55,051.28 = 15,642.40/x
  3. Step 3: Cross multiply
    36,688.64x = 55,051.28 × 15,642.40
  4. Step 4: Simplify right side
    36,688.64x = 861,134,142.27
  5. Step 5: Solve for x
    x = 861,134,142.27/36,688.64
  6. Step 6: Final answer
    x = 23,471.41

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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.