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Finding the Fourth Proportional to 106,585.94, 159,820.16 and 43,389.88

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Solution

The fourth proportional to 106,585.94, 159,820.16 and 43,389.88 is: 65,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.94 : 159,820.16 = 43,389.88 : x
  2. Step 2: Convert to fraction form
    106,585.94/159,820.16 = 43,389.88/x
  3. Step 3: Cross multiply
    106,585.94x = 159,820.16 × 43,389.88
  4. Step 4: Simplify right side
    106,585.94x = 6,934,576,947.48
  5. Step 5: Solve for x
    x = 6,934,576,947.48/106,585.94
  6. Step 6: Final answer
    x = 65,060.90

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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.