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Finding the Fourth Proportional to 72,948.06, 109,435.05 and 24,914.05

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Solution

The fourth proportional to 72,948.06, 109,435.05 and 24,914.05 is: 37,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948.06 : 109,435.05 = 24,914.05 : x
  2. Step 2: Convert to fraction form
    72,948.06/109,435.05 = 24,914.05/x
  3. Step 3: Cross multiply
    72,948.06x = 109,435.05 × 24,914.05
  4. Step 4: Simplify right side
    72,948.06x = 2,726,470,033.86
  5. Step 5: Solve for x
    x = 2,726,470,033.86/72,948.06
  6. Step 6: Final answer
    x = 37,375.50

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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.