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Finding the Fourth Proportional to 47,632.19, 65,737.83 and 27,494.47

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Solution

The fourth proportional to 47,632.19, 65,737.83 and 27,494.47 is: 37,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,632.19 : 65,737.83 = 27,494.47 : x
  2. Step 2: Convert to fraction form
    47,632.19/65,737.83 = 27,494.47/x
  3. Step 3: Cross multiply
    47,632.19x = 65,737.83 × 27,494.47
  4. Step 4: Simplify right side
    47,632.19x = 1,807,426,825.42
  5. Step 5: Solve for x
    x = 1,807,426,825.42/47,632.19
  6. Step 6: Final answer
    x = 37,945.49

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