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Finding the Fourth Proportional to 77,659.32, 116,506.26 and 22,251

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Solution

The fourth proportional to 77,659.32, 116,506.26 and 22,251 is: 33,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.32 : 116,506.26 = 22,251 : x
  2. Step 2: Convert to fraction form
    77,659.32/116,506.26 = 22,251/x
  3. Step 3: Cross multiply
    77,659.32x = 116,506.26 × 22,251
  4. Step 4: Simplify right side
    77,659.32x = 2,592,380,791.26
  5. Step 5: Solve for x
    x = 2,592,380,791.26/77,659.32
  6. Step 6: Final answer
    x = 33,381.45

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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.