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Finding the Fourth Proportional to 51,468.48, 77,205.78 and 19,878.78

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Solution

The fourth proportional to 51,468.48, 77,205.78 and 19,878.78 is: 29,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,468.48 : 77,205.78 = 19,878.78 : x
  2. Step 2: Convert to fraction form
    51,468.48/77,205.78 = 19,878.78/x
  3. Step 3: Cross multiply
    51,468.48x = 77,205.78 × 19,878.78
  4. Step 4: Simplify right side
    51,468.48x = 1,534,756,715.35
  5. Step 5: Solve for x
    x = 1,534,756,715.35/51,468.48
  6. Step 6: Final answer
    x = 29,819.35

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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.