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Finding the Fourth Proportional to 77,434.08, 106,859.36 and 43,900

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Solution

The fourth proportional to 77,434.08, 106,859.36 and 43,900 is: 60,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434.08 : 106,859.36 = 43,900 : x
  2. Step 2: Convert to fraction form
    77,434.08/106,859.36 = 43,900/x
  3. Step 3: Cross multiply
    77,434.08x = 106,859.36 × 43,900
  4. Step 4: Simplify right side
    77,434.08x = 4,691,125,904
  5. Step 5: Solve for x
    x = 4,691,125,904/77,434.08
  6. Step 6: Final answer
    x = 60,582.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.