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Finding the Fourth Proportional to 77,565.76, 116,354.64 and 24,976.84

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Solution

The fourth proportional to 77,565.76, 116,354.64 and 24,976.84 is: 37,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,565.76 : 116,354.64 = 24,976.84 : x
  2. Step 2: Convert to fraction form
    77,565.76/116,354.64 = 24,976.84/x
  3. Step 3: Cross multiply
    77,565.76x = 116,354.64 × 24,976.84
  4. Step 4: Simplify right side
    77,565.76x = 2,906,171,226.54
  5. Step 5: Solve for x
    x = 2,906,171,226.54/77,565.76
  6. Step 6: Final answer
    x = 37,467.19

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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.