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Finding the Fourth Proportional to 77,857.60, 116,782.08 and 36,333.76

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Solution

The fourth proportional to 77,857.60, 116,782.08 and 36,333.76 is: 54,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.60 : 116,782.08 = 36,333.76 : x
  2. Step 2: Convert to fraction form
    77,857.60/116,782.08 = 36,333.76/x
  3. Step 3: Cross multiply
    77,857.60x = 116,782.08 × 36,333.76
  4. Step 4: Simplify right side
    77,857.60x = 4,243,132,067.02
  5. Step 5: Solve for x
    x = 4,243,132,067.02/77,857.60
  6. Step 6: Final answer
    x = 54,498.62

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1.5x scale

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.