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Finding the Fourth Proportional to 77,358.76, 115,889.91 and 52,355.68

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Solution

The fourth proportional to 77,358.76, 115,889.91 and 52,355.68 is: 78,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,358.76 : 115,889.91 = 52,355.68 : x
  2. Step 2: Convert to fraction form
    77,358.76/115,889.91 = 52,355.68/x
  3. Step 3: Cross multiply
    77,358.76x = 115,889.91 × 52,355.68
  4. Step 4: Simplify right side
    77,358.76x = 6,067,495,043.19
  5. Step 5: Solve for x
    x = 6,067,495,043.19/77,358.76
  6. Step 6: Final answer
    x = 78,433.20

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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.