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Finding the Fourth Proportional to 58,077.20, 86,986.20 and 47,709.20

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Solution

The fourth proportional to 58,077.20, 86,986.20 and 47,709.20 is: 71,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,077.20 : 86,986.20 = 47,709.20 : x
  2. Step 2: Convert to fraction form
    58,077.20/86,986.20 = 47,709.20/x
  3. Step 3: Cross multiply
    58,077.20x = 86,986.20 × 47,709.20
  4. Step 4: Simplify right side
    58,077.20x = 4,150,042,013.04
  5. Step 5: Solve for x
    x = 4,150,042,013.04/58,077.20
  6. Step 6: Final answer
    x = 71,457.34

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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.