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Finding the Fourth Proportional to 75,861.84, 104,689.26 and 42,327.84

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Solution

The fourth proportional to 75,861.84, 104,689.26 and 42,327.84 is: 58,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,861.84 : 104,689.26 = 42,327.84 : x
  2. Step 2: Convert to fraction form
    75,861.84/104,689.26 = 42,327.84/x
  3. Step 3: Cross multiply
    75,861.84x = 104,689.26 × 42,327.84
  4. Step 4: Simplify right side
    75,861.84x = 4,431,270,247.00
  5. Step 5: Solve for x
    x = 4,431,270,247.00/75,861.84
  6. Step 6: Final answer
    x = 58,412.38

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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.