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Finding the Fourth Proportional to 37,155.78, 55,735.50 and 14,966.16

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Solution

The fourth proportional to 37,155.78, 55,735.50 and 14,966.16 is: 22,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,155.78 : 55,735.50 = 14,966.16 : x
  2. Step 2: Convert to fraction form
    37,155.78/55,735.50 = 14,966.16/x
  3. Step 3: Cross multiply
    37,155.78x = 55,735.50 × 14,966.16
  4. Step 4: Simplify right side
    37,155.78x = 834,146,410.68
  5. Step 5: Solve for x
    x = 834,146,410.68/37,155.78
  6. Step 6: Final answer
    x = 22,449.98

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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.