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Finding the Fourth Proportional to 52,298.66, 78,448 and 19,012.52

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Solution

The fourth proportional to 52,298.66, 78,448 and 19,012.52 is: 28,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,298.66 : 78,448 = 19,012.52 : x
  2. Step 2: Convert to fraction form
    52,298.66/78,448 = 19,012.52/x
  3. Step 3: Cross multiply
    52,298.66x = 78,448 × 19,012.52
  4. Step 4: Simplify right side
    52,298.66x = 1,491,494,168.96
  5. Step 5: Solve for x
    x = 1,491,494,168.96/52,298.66
  6. Step 6: Final answer
    x = 28,518.78

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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.