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Finding the Fourth Proportional to 78,067.75, 107,748.09 and 44,533.75

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Solution

The fourth proportional to 78,067.75, 107,748.09 and 44,533.75 is: 61,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.75 : 107,748.09 = 44,533.75 : x
  2. Step 2: Convert to fraction form
    78,067.75/107,748.09 = 44,533.75/x
  3. Step 3: Cross multiply
    78,067.75x = 107,748.09 × 44,533.75
  4. Step 4: Simplify right side
    78,067.75x = 4,798,426,503.04
  5. Step 5: Solve for x
    x = 4,798,426,503.04/78,067.75
  6. Step 6: Final answer
    x = 61,464.90

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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.