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Finding the Fourth Proportional to 73,032.97, 109,594.81 and 46,756.57

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Solution

The fourth proportional to 73,032.97, 109,594.81 and 46,756.57 is: 70,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032.97 : 109,594.81 = 46,756.57 : x
  2. Step 2: Convert to fraction form
    73,032.97/109,594.81 = 46,756.57/x
  3. Step 3: Cross multiply
    73,032.97x = 109,594.81 × 46,756.57
  4. Step 4: Simplify right side
    73,032.97x = 5,124,276,740.54
  5. Step 5: Solve for x
    x = 5,124,276,740.54/73,032.97
  6. Step 6: Final answer
    x = 70,163.89

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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.