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Finding the Fourth Proportional to 31,571.60, 47,355.54 and 11,848.50

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Solution

The fourth proportional to 31,571.60, 47,355.54 and 11,848.50 is: 17,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.60 : 47,355.54 = 11,848.50 : x
  2. Step 2: Convert to fraction form
    31,571.60/47,355.54 = 11,848.50/x
  3. Step 3: Cross multiply
    31,571.60x = 47,355.54 × 11,848.50
  4. Step 4: Simplify right side
    31,571.60x = 561,092,115.69
  5. Step 5: Solve for x
    x = 561,092,115.69/31,571.60
  6. Step 6: Final answer
    x = 17,772.05

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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.