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Finding the Fourth Proportional to 77,078.74, 115,638.27 and 32,707.30

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Solution

The fourth proportional to 77,078.74, 115,638.27 and 32,707.30 is: 49,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.74 : 115,638.27 = 32,707.30 : x
  2. Step 2: Convert to fraction form
    77,078.74/115,638.27 = 32,707.30/x
  3. Step 3: Cross multiply
    77,078.74x = 115,638.27 × 32,707.30
  4. Step 4: Simplify right side
    77,078.74x = 3,782,215,588.37
  5. Step 5: Solve for x
    x = 3,782,215,588.37/77,078.74
  6. Step 6: Final answer
    x = 49,069.50

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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.