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Finding the Fourth Proportional to 77,642.10, 116,380.10 and 35,458.98

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Solution

The fourth proportional to 77,642.10, 116,380.10 and 35,458.98 is: 53,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.10 : 116,380.10 = 35,458.98 : x
  2. Step 2: Convert to fraction form
    77,642.10/116,380.10 = 35,458.98/x
  3. Step 3: Cross multiply
    77,642.10x = 116,380.10 × 35,458.98
  4. Step 4: Simplify right side
    77,642.10x = 4,126,719,461.00
  5. Step 5: Solve for x
    x = 4,126,719,461.00/77,642.10
  6. Step 6: Final answer
    x = 53,150.54

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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.