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Finding the Fourth Proportional to 55,654.98, 76,809.36 and 31,785.24

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Solution

The fourth proportional to 55,654.98, 76,809.36 and 31,785.24 is: 43,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,654.98 : 76,809.36 = 31,785.24 : x
  2. Step 2: Convert to fraction form
    55,654.98/76,809.36 = 31,785.24/x
  3. Step 3: Cross multiply
    55,654.98x = 76,809.36 × 31,785.24
  4. Step 4: Simplify right side
    55,654.98x = 2,441,403,941.85
  5. Step 5: Solve for x
    x = 2,441,403,941.85/55,654.98
  6. Step 6: Final answer
    x = 43,866.77

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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.