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Finding the Fourth Proportional to 106,489.59, 146,955.65 and 58,743.06

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Solution

The fourth proportional to 106,489.59, 146,955.65 and 58,743.06 is: 81,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.59 : 146,955.65 = 58,743.06 : x
  2. Step 2: Convert to fraction form
    106,489.59/146,955.65 = 58,743.06/x
  3. Step 3: Cross multiply
    106,489.59x = 146,955.65 × 58,743.06
  4. Step 4: Simplify right side
    106,489.59x = 8,632,624,271.57
  5. Step 5: Solve for x
    x = 8,632,624,271.57/106,489.59
  6. Step 6: Final answer
    x = 81,065.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.