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Finding the Fourth Proportional to 31,756.86, 47,653.74 and 12,036.96

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Solution

The fourth proportional to 31,756.86, 47,653.74 and 12,036.96 is: 18,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.86 : 47,653.74 = 12,036.96 : x
  2. Step 2: Convert to fraction form
    31,756.86/47,653.74 = 12,036.96/x
  3. Step 3: Cross multiply
    31,756.86x = 47,653.74 × 12,036.96
  4. Step 4: Simplify right side
    31,756.86x = 573,606,162.23
  5. Step 5: Solve for x
    x = 573,606,162.23/31,756.86
  6. Step 6: Final answer
    x = 18,062.43

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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.