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Finding the Fourth Proportional to 77,345.60, 116,061.60 and 32,964.80

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Solution

The fourth proportional to 77,345.60, 116,061.60 and 32,964.80 is: 49,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345.60 : 116,061.60 = 32,964.80 : x
  2. Step 2: Convert to fraction form
    77,345.60/116,061.60 = 32,964.80/x
  3. Step 3: Cross multiply
    77,345.60x = 116,061.60 × 32,964.80
  4. Step 4: Simplify right side
    77,345.60x = 3,825,947,431.68
  5. Step 5: Solve for x
    x = 3,825,947,431.68/77,345.60
  6. Step 6: Final answer
    x = 49,465.61

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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.