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Finding the Fourth Proportional to 77,458.32, 116,191.80 and 22,050

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Solution

The fourth proportional to 77,458.32, 116,191.80 and 22,050 is: 33,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,458.32 : 116,191.80 = 22,050 : x
  2. Step 2: Convert to fraction form
    77,458.32/116,191.80 = 22,050/x
  3. Step 3: Cross multiply
    77,458.32x = 116,191.80 × 22,050
  4. Step 4: Simplify right side
    77,458.32x = 2,562,029,190
  5. Step 5: Solve for x
    x = 2,562,029,190/77,458.32
  6. Step 6: Final answer
    x = 33,076.23

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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.