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Finding the Fourth Proportional to 77,900.83, 116,767.85 and 55,646.73

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Solution

The fourth proportional to 77,900.83, 116,767.85 and 55,646.73 is: 83,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,900.83 : 116,767.85 = 55,646.73 : x
  2. Step 2: Convert to fraction form
    77,900.83/116,767.85 = 55,646.73/x
  3. Step 3: Cross multiply
    77,900.83x = 116,767.85 × 55,646.73
  4. Step 4: Simplify right side
    77,900.83x = 6,497,748,743.40
  5. Step 5: Solve for x
    x = 6,497,748,743.40/77,900.83
  6. Step 6: Final answer
    x = 83,410.52

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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.