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Finding the Fourth Proportional to 31,543.74, 47,262.06 and 19,037.50

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Solution

The fourth proportional to 31,543.74, 47,262.06 and 19,037.50 is: 28,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.74 : 47,262.06 = 19,037.50 : x
  2. Step 2: Convert to fraction form
    31,543.74/47,262.06 = 19,037.50/x
  3. Step 3: Cross multiply
    31,543.74x = 47,262.06 × 19,037.50
  4. Step 4: Simplify right side
    31,543.74x = 899,751,467.25
  5. Step 5: Solve for x
    x = 899,751,467.25/31,543.74
  6. Step 6: Final answer
    x = 28,523.93

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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.