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Finding the Fourth Proportional to 38,296.86, 52,834.58 and 28,249.50

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Solution

The fourth proportional to 38,296.86, 52,834.58 and 28,249.50 is: 38,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.86 : 52,834.58 = 28,249.50 : x
  2. Step 2: Convert to fraction form
    38,296.86/52,834.58 = 28,249.50/x
  3. Step 3: Cross multiply
    38,296.86x = 52,834.58 × 28,249.50
  4. Step 4: Simplify right side
    38,296.86x = 1,492,550,467.71
  5. Step 5: Solve for x
    x = 1,492,550,467.71/38,296.86
  6. Step 6: Final answer
    x = 38,973.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.