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Finding the Fourth Proportional to 72,834.44, 109,253.82 and 28,459.40

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Solution

The fourth proportional to 72,834.44, 109,253.82 and 28,459.40 is: 42,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,834.44 : 109,253.82 = 28,459.40 : x
  2. Step 2: Convert to fraction form
    72,834.44/109,253.82 = 28,459.40/x
  3. Step 3: Cross multiply
    72,834.44x = 109,253.82 × 28,459.40
  4. Step 4: Simplify right side
    72,834.44x = 3,109,298,164.91
  5. Step 5: Solve for x
    x = 3,109,298,164.91/72,834.44
  6. Step 6: Final answer
    x = 42,689.94

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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.