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Finding the Fourth Proportional to 77,302.52, 115,745.93 and 49,069.74

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Solution

The fourth proportional to 77,302.52, 115,745.93 and 49,069.74 is: 73,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,302.52 : 115,745.93 = 49,069.74 : x
  2. Step 2: Convert to fraction form
    77,302.52/115,745.93 = 49,069.74/x
  3. Step 3: Cross multiply
    77,302.52x = 115,745.93 × 49,069.74
  4. Step 4: Simplify right side
    77,302.52x = 5,679,622,691.16
  5. Step 5: Solve for x
    x = 5,679,622,691.16/77,302.52
  6. Step 6: Final answer
    x = 73,472.67

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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.