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Finding the Fourth Proportional to 53,098.80, 73,277.64 and 29,223.24

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Solution

The fourth proportional to 53,098.80, 73,277.64 and 29,223.24 is: 40,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098.80 : 73,277.64 = 29,223.24 : x
  2. Step 2: Convert to fraction form
    53,098.80/73,277.64 = 29,223.24/x
  3. Step 3: Cross multiply
    53,098.80x = 73,277.64 × 29,223.24
  4. Step 4: Simplify right side
    53,098.80x = 2,141,410,060.35
  5. Step 5: Solve for x
    x = 2,141,410,060.35/53,098.80
  6. Step 6: Final answer
    x = 40,328.78

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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.