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Finding the Fourth Proportional to 75,857, 104,682.66 and 42,323

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Solution

The fourth proportional to 75,857, 104,682.66 and 42,323 is: 58,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857 : 104,682.66 = 42,323 : x
  2. Step 2: Convert to fraction form
    75,857/104,682.66 = 42,323/x
  3. Step 3: Cross multiply
    75,857x = 104,682.66 × 42,323
  4. Step 4: Simplify right side
    75,857x = 4,430,484,219.18
  5. Step 5: Solve for x
    x = 4,430,484,219.18/75,857
  6. Step 6: Final answer
    x = 58,405.74

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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.