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Finding the Fourth Proportional to 75,698.25, 104,463.63 and 42,164.25

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Solution

The fourth proportional to 75,698.25, 104,463.63 and 42,164.25 is: 58,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,698.25 : 104,463.63 = 42,164.25 : x
  2. Step 2: Convert to fraction form
    75,698.25/104,463.63 = 42,164.25/x
  3. Step 3: Cross multiply
    75,698.25x = 104,463.63 × 42,164.25
  4. Step 4: Simplify right side
    75,698.25x = 4,404,630,611.23
  5. Step 5: Solve for x
    x = 4,404,630,611.23/75,698.25
  6. Step 6: Final answer
    x = 58,186.69

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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.