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Finding the Fourth Proportional to 106,046.59, 159,061.61 and 61,645.02

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Solution

The fourth proportional to 106,046.59, 159,061.61 and 61,645.02 is: 92,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.59 : 159,061.61 = 61,645.02 : x
  2. Step 2: Convert to fraction form
    106,046.59/159,061.61 = 61,645.02/x
  3. Step 3: Cross multiply
    106,046.59x = 159,061.61 × 61,645.02
  4. Step 4: Simplify right side
    106,046.59x = 9,805,356,283.79
  5. Step 5: Solve for x
    x = 9,805,356,283.79/106,046.59
  6. Step 6: Final answer
    x = 92,462.72

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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.