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Finding the Fourth Proportional to 78,511.52, 117,722.58 and 53,581.77

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Solution

The fourth proportional to 78,511.52, 117,722.58 and 53,581.77 is: 80,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,511.52 : 117,722.58 = 53,581.77 : x
  2. Step 2: Convert to fraction form
    78,511.52/117,722.58 = 53,581.77/x
  3. Step 3: Cross multiply
    78,511.52x = 117,722.58 × 53,581.77
  4. Step 4: Simplify right side
    78,511.52x = 6,307,784,205.37
  5. Step 5: Solve for x
    x = 6,307,784,205.37/78,511.52
  6. Step 6: Final answer
    x = 80,342.15

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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.