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Finding the Fourth Proportional to 106,586.94, 159,821.65 and 43,390.88

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Solution

The fourth proportional to 106,586.94, 159,821.65 and 43,390.88 is: 65,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,586.94 : 159,821.65 = 43,390.88 : x
  2. Step 2: Convert to fraction form
    106,586.94/159,821.65 = 43,390.88/x
  3. Step 3: Cross multiply
    106,586.94x = 159,821.65 × 43,390.88
  4. Step 4: Simplify right side
    106,586.94x = 6,934,802,036.55
  5. Step 5: Solve for x
    x = 6,934,802,036.55/106,586.94
  6. Step 6: Final answer
    x = 65,062.40

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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.