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Finding the Fourth Proportional to 58,206.40, 87,212.40 and 49,847.20

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Solution

The fourth proportional to 58,206.40, 87,212.40 and 49,847.20 is: 74,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,206.40 : 87,212.40 = 49,847.20 : x
  2. Step 2: Convert to fraction form
    58,206.40/87,212.40 = 49,847.20/x
  3. Step 3: Cross multiply
    58,206.40x = 87,212.40 × 49,847.20
  4. Step 4: Simplify right side
    58,206.40x = 4,347,293,945.28
  5. Step 5: Solve for x
    x = 4,347,293,945.28/58,206.40
  6. Step 6: Final answer
    x = 74,687.56

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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.