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Finding the Fourth Proportional to 37,115.28, 55,607.94 and 30,915

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Solution

The fourth proportional to 37,115.28, 55,607.94 and 30,915 is: 46,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115.28 : 55,607.94 = 30,915 : x
  2. Step 2: Convert to fraction form
    37,115.28/55,607.94 = 30,915/x
  3. Step 3: Cross multiply
    37,115.28x = 55,607.94 × 30,915
  4. Step 4: Simplify right side
    37,115.28x = 1,719,119,465.10
  5. Step 5: Solve for x
    x = 1,719,119,465.10/37,115.28
  6. Step 6: Final answer
    x = 46,318.38

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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.