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Finding the Fourth Proportional to 77,410, 116,134.51 and 22,006

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Solution

The fourth proportional to 77,410, 116,134.51 and 22,006 is: 33,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410 : 116,134.51 = 22,006 : x
  2. Step 2: Convert to fraction form
    77,410/116,134.51 = 22,006/x
  3. Step 3: Cross multiply
    77,410x = 116,134.51 × 22,006
  4. Step 4: Simplify right side
    77,410x = 2,555,656,027.06
  5. Step 5: Solve for x
    x = 2,555,656,027.06/77,410
  6. Step 6: Final answer
    x = 33,014.55

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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.