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Finding the Fourth Proportional to 71,027.80, 106,541.70 and 41,430.40

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Solution

The fourth proportional to 71,027.80, 106,541.70 and 41,430.40 is: 62,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.80 : 106,541.70 = 41,430.40 : x
  2. Step 2: Convert to fraction form
    71,027.80/106,541.70 = 41,430.40/x
  3. Step 3: Cross multiply
    71,027.80x = 106,541.70 × 41,430.40
  4. Step 4: Simplify right side
    71,027.80x = 4,414,065,247.68
  5. Step 5: Solve for x
    x = 4,414,065,247.68/71,027.80
  6. Step 6: Final answer
    x = 62,145.60

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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.