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Finding the Fourth Proportional to 75,838.84, 104,656.90 and 41,847.64

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Solution

The fourth proportional to 75,838.84, 104,656.90 and 41,847.64 is: 57,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,838.84 : 104,656.90 = 41,847.64 : x
  2. Step 2: Convert to fraction form
    75,838.84/104,656.90 = 41,847.64/x
  3. Step 3: Cross multiply
    75,838.84x = 104,656.90 × 41,847.64
  4. Step 4: Simplify right side
    75,838.84x = 4,379,644,274.72
  5. Step 5: Solve for x
    x = 4,379,644,274.72/75,838.84
  6. Step 6: Final answer
    x = 57,749.36

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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.