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Finding the Fourth Proportional to 37,758.52, 56,628.06 and 15,578.20

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Solution

The fourth proportional to 37,758.52, 56,628.06 and 15,578.20 is: 23,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.52 : 56,628.06 = 15,578.20 : x
  2. Step 2: Convert to fraction form
    37,758.52/56,628.06 = 15,578.20/x
  3. Step 3: Cross multiply
    37,758.52x = 56,628.06 × 15,578.20
  4. Step 4: Simplify right side
    37,758.52x = 882,163,244.29
  5. Step 5: Solve for x
    x = 882,163,244.29/37,758.52
  6. Step 6: Final answer
    x = 23,363.29

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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.