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Finding the Fourth Proportional to 31,580.80, 47,362.56 and 11,857.84

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Solution

The fourth proportional to 31,580.80, 47,362.56 and 11,857.84 is: 17,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.80 : 47,362.56 = 11,857.84 : x
  2. Step 2: Convert to fraction form
    31,580.80/47,362.56 = 11,857.84/x
  3. Step 3: Cross multiply
    31,580.80x = 47,362.56 × 11,857.84
  4. Step 4: Simplify right side
    31,580.80x = 561,617,658.47
  5. Step 5: Solve for x
    x = 561,617,658.47/31,580.80
  6. Step 6: Final answer
    x = 17,783.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.