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Finding the Fourth Proportional to 78,384.24, 117,647.11 and 53,022.42

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Solution

The fourth proportional to 78,384.24, 117,647.11 and 53,022.42 is: 79,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,384.24 : 117,647.11 = 53,022.42 : x
  2. Step 2: Convert to fraction form
    78,384.24/117,647.11 = 53,022.42/x
  3. Step 3: Cross multiply
    78,384.24x = 117,647.11 × 53,022.42
  4. Step 4: Simplify right side
    78,384.24x = 6,237,934,478.21
  5. Step 5: Solve for x
    x = 6,237,934,478.21/78,384.24
  6. Step 6: Final answer
    x = 79,581.49

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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.