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Finding the Fourth Proportional to 48,906.86, 73,332.74 and 15,619.10

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Solution

The fourth proportional to 48,906.86, 73,332.74 and 15,619.10 is: 23,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906.86 : 73,332.74 = 15,619.10 : x
  2. Step 2: Convert to fraction form
    48,906.86/73,332.74 = 15,619.10/x
  3. Step 3: Cross multiply
    48,906.86x = 73,332.74 × 15,619.10
  4. Step 4: Simplify right side
    48,906.86x = 1,145,391,071.72
  5. Step 5: Solve for x
    x = 1,145,391,071.72/48,906.86
  6. Step 6: Final answer
    x = 23,419.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.