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Finding the Fourth Proportional to 73,465.47, 110,199.42 and 31,912.47

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Solution

The fourth proportional to 73,465.47, 110,199.42 and 31,912.47 is: 47,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,465.47 : 110,199.42 = 31,912.47 : x
  2. Step 2: Convert to fraction form
    73,465.47/110,199.42 = 31,912.47/x
  3. Step 3: Cross multiply
    73,465.47x = 110,199.42 × 31,912.47
  4. Step 4: Simplify right side
    73,465.47x = 3,516,735,684.77
  5. Step 5: Solve for x
    x = 3,516,735,684.77/73,465.47
  6. Step 6: Final answer
    x = 47,869.23

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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.