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Finding the Fourth Proportional to 77,866.11, 107,457.23 and 47,650.88

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Solution

The fourth proportional to 77,866.11, 107,457.23 and 47,650.88 is: 65,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.11 : 107,457.23 = 47,650.88 : x
  2. Step 2: Convert to fraction form
    77,866.11/107,457.23 = 47,650.88/x
  3. Step 3: Cross multiply
    77,866.11x = 107,457.23 × 47,650.88
  4. Step 4: Simplify right side
    77,866.11x = 5,120,431,959.63
  5. Step 5: Solve for x
    x = 5,120,431,959.63/77,866.11
  6. Step 6: Final answer
    x = 65,759.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.