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Finding the Fourth Proportional to 77,355, 116,043.57 and 29,341.26

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Solution

The fourth proportional to 77,355, 116,043.57 and 29,341.26 is: 44,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,355 : 116,043.57 = 29,341.26 : x
  2. Step 2: Convert to fraction form
    77,355/116,043.57 = 29,341.26/x
  3. Step 3: Cross multiply
    77,355x = 116,043.57 × 29,341.26
  4. Step 4: Simplify right side
    77,355x = 3,404,864,558.70
  5. Step 5: Solve for x
    x = 3,404,864,558.70/77,355
  6. Step 6: Final answer
    x = 44,016.09

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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.