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Finding the Fourth Proportional to 37,357.50, 56,045.85 and 12,733.50

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Solution

The fourth proportional to 37,357.50, 56,045.85 and 12,733.50 is: 19,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,357.50 : 56,045.85 = 12,733.50 : x
  2. Step 2: Convert to fraction form
    37,357.50/56,045.85 = 12,733.50/x
  3. Step 3: Cross multiply
    37,357.50x = 56,045.85 × 12,733.50
  4. Step 4: Simplify right side
    37,357.50x = 713,659,830.98
  5. Step 5: Solve for x
    x = 713,659,830.98/37,357.50
  6. Step 6: Final answer
    x = 19,103.52

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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.