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Finding the Fourth Proportional to 77,046.00, 106,321.43 and 43,054.76

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Solution

The fourth proportional to 77,046.00, 106,321.43 and 43,054.76 is: 59,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,046.00 : 106,321.43 = 43,054.76 : x
  2. Step 2: Convert to fraction form
    77,046.00/106,321.43 = 43,054.76/x
  3. Step 3: Cross multiply
    77,046.00x = 106,321.43 × 43,054.76
  4. Step 4: Simplify right side
    77,046.00x = 4,577,643,436.23
  5. Step 5: Solve for x
    x = 4,577,643,436.23/77,046.00
  6. Step 6: Final answer
    x = 59,414.42

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Why These Related Problems?

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