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Finding the Fourth Proportional to 79,296.28, 109,421.20 and 47,464.50

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Solution

The fourth proportional to 79,296.28, 109,421.20 and 47,464.50 is: 65,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296.28 : 109,421.20 = 47,464.50 : x
  2. Step 2: Convert to fraction form
    79,296.28/109,421.20 = 47,464.50/x
  3. Step 3: Cross multiply
    79,296.28x = 109,421.20 × 47,464.50
  4. Step 4: Simplify right side
    79,296.28x = 5,193,622,547.40
  5. Step 5: Solve for x
    x = 5,193,622,547.40/79,296.28
  6. Step 6: Final answer
    x = 65,496.42

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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.