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Finding the Fourth Proportional to 52,367.28, 78,503.25 and 19,079.76

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Solution

The fourth proportional to 52,367.28, 78,503.25 and 19,079.76 is: 28,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,367.28 : 78,503.25 = 19,079.76 : x
  2. Step 2: Convert to fraction form
    52,367.28/78,503.25 = 19,079.76/x
  3. Step 3: Cross multiply
    52,367.28x = 78,503.25 × 19,079.76
  4. Step 4: Simplify right side
    52,367.28x = 1,497,823,169.22
  5. Step 5: Solve for x
    x = 1,497,823,169.22/52,367.28
  6. Step 6: Final answer
    x = 28,602.27

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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.