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Finding the Fourth Proportional to 31,558.50, 43,550.78 and 17,412.30

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Solution

The fourth proportional to 31,558.50, 43,550.78 and 17,412.30 is: 24,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,558.50 : 43,550.78 = 17,412.30 : x
  2. Step 2: Convert to fraction form
    31,558.50/43,550.78 = 17,412.30/x
  3. Step 3: Cross multiply
    31,558.50x = 43,550.78 × 17,412.30
  4. Step 4: Simplify right side
    31,558.50x = 758,319,159.53
  5. Step 5: Solve for x
    x = 758,319,159.53/31,558.50
  6. Step 6: Final answer
    x = 24,029.00

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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.