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Finding the Fourth Proportional to 49,923.81, 74,863.64 and 18,737.19

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Solution

The fourth proportional to 49,923.81, 74,863.64 and 18,737.19 is: 28,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,923.81 : 74,863.64 = 18,737.19 : x
  2. Step 2: Convert to fraction form
    49,923.81/74,863.64 = 18,737.19/x
  3. Step 3: Cross multiply
    49,923.81x = 74,863.64 × 18,737.19
  4. Step 4: Simplify right side
    49,923.81x = 1,402,734,293.61
  5. Step 5: Solve for x
    x = 1,402,734,293.61/49,923.81
  6. Step 6: Final answer
    x = 28,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.