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Finding the Fourth Proportional to 31,773.60, 47,653.38 and 12,051.72

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Solution

The fourth proportional to 31,773.60, 47,653.38 and 12,051.72 is: 18,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.60 : 47,653.38 = 12,051.72 : x
  2. Step 2: Convert to fraction form
    31,773.60/47,653.38 = 12,051.72/x
  3. Step 3: Cross multiply
    31,773.60x = 47,653.38 × 12,051.72
  4. Step 4: Simplify right side
    31,773.60x = 574,305,192.81
  5. Step 5: Solve for x
    x = 574,305,192.81/31,773.60
  6. Step 6: Final answer
    x = 18,074.92

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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.