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Finding the Fourth Proportional to 31,572.60, 47,357.04 and 11,849.50

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Solution

The fourth proportional to 31,572.60, 47,357.04 and 11,849.50 is: 17,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.60 : 47,357.04 = 11,849.50 : x
  2. Step 2: Convert to fraction form
    31,572.60/47,357.04 = 11,849.50/x
  3. Step 3: Cross multiply
    31,572.60x = 47,357.04 × 11,849.50
  4. Step 4: Simplify right side
    31,572.60x = 561,157,245.48
  5. Step 5: Solve for x
    x = 561,157,245.48/31,572.60
  6. Step 6: Final answer
    x = 17,773.55

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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.