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Finding the Fourth Proportional to 106,035.93, 159,053.93 and 49,834.77

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Solution

The fourth proportional to 106,035.93, 159,053.93 and 49,834.77 is: 74,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,035.93 : 159,053.93 = 49,834.77 : x
  2. Step 2: Convert to fraction form
    106,035.93/159,053.93 = 49,834.77/x
  3. Step 3: Cross multiply
    106,035.93x = 159,053.93 × 49,834.77
  4. Step 4: Simplify right side
    106,035.93x = 7,926,415,769.97
  5. Step 5: Solve for x
    x = 7,926,415,769.97/106,035.93
  6. Step 6: Final answer
    x = 74,752.17

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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.