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Finding the Fourth Proportional to 77,362.67, 116,050.15 and 32,989.80

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Solution

The fourth proportional to 77,362.67, 116,050.15 and 32,989.80 is: 49,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,362.67 : 116,050.15 = 32,989.80 : x
  2. Step 2: Convert to fraction form
    77,362.67/116,050.15 = 32,989.80/x
  3. Step 3: Cross multiply
    77,362.67x = 116,050.15 × 32,989.80
  4. Step 4: Simplify right side
    77,362.67x = 3,828,471,073.52
  5. Step 5: Solve for x
    x = 3,828,471,073.52/77,362.67
  6. Step 6: Final answer
    x = 49,487.32

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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.