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Finding the Fourth Proportional to 77,700.96, 116,584.22 and 49,652.64

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Solution

The fourth proportional to 77,700.96, 116,584.22 and 49,652.64 is: 74,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,700.96 : 116,584.22 = 49,652.64 : x
  2. Step 2: Convert to fraction form
    77,700.96/116,584.22 = 49,652.64/x
  3. Step 3: Cross multiply
    77,700.96x = 116,584.22 × 49,652.64
  4. Step 4: Simplify right side
    77,700.96x = 5,788,714,305.34
  5. Step 5: Solve for x
    x = 5,788,714,305.34/77,700.96
  6. Step 6: Final answer
    x = 74,499.91

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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.