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Finding the Fourth Proportional to 31,777.60, 47,670.45 and 12,061.80

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Solution

The fourth proportional to 31,777.60, 47,670.45 and 12,061.80 is: 18,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.60 : 47,670.45 = 12,061.80 : x
  2. Step 2: Convert to fraction form
    31,777.60/47,670.45 = 12,061.80/x
  3. Step 3: Cross multiply
    31,777.60x = 47,670.45 × 12,061.80
  4. Step 4: Simplify right side
    31,777.60x = 574,991,433.81
  5. Step 5: Solve for x
    x = 574,991,433.81/31,777.60
  6. Step 6: Final answer
    x = 18,094.24

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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.