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Finding the Fourth Proportional to 106,053.84, 159,086.97 and 39,488.58

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Solution

The fourth proportional to 106,053.84, 159,086.97 and 39,488.58 is: 59,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.84 : 159,086.97 = 39,488.58 : x
  2. Step 2: Convert to fraction form
    106,053.84/159,086.97 = 39,488.58/x
  3. Step 3: Cross multiply
    106,053.84x = 159,086.97 × 39,488.58
  4. Step 4: Simplify right side
    106,053.84x = 6,282,118,541.80
  5. Step 5: Solve for x
    x = 6,282,118,541.80/106,053.84
  6. Step 6: Final answer
    x = 59,235.18

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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.