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Finding the Fourth Proportional to 31,784.40, 43,866.36 and 17,641.80

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Solution

The fourth proportional to 31,784.40, 43,866.36 and 17,641.80 is: 24,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.40 : 43,866.36 = 17,641.80 : x
  2. Step 2: Convert to fraction form
    31,784.40/43,866.36 = 17,641.80/x
  3. Step 3: Cross multiply
    31,784.40x = 43,866.36 × 17,641.80
  4. Step 4: Simplify right side
    31,784.40x = 773,881,549.85
  5. Step 5: Solve for x
    x = 773,881,549.85/31,784.40
  6. Step 6: Final answer
    x = 24,347.84

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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.