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Finding the Fourth Proportional to 75,997, 104,875.86 and 42,463

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Solution

The fourth proportional to 75,997, 104,875.86 and 42,463 is: 58,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997 : 104,875.86 = 42,463 : x
  2. Step 2: Convert to fraction form
    75,997/104,875.86 = 42,463/x
  3. Step 3: Cross multiply
    75,997x = 104,875.86 × 42,463
  4. Step 4: Simplify right side
    75,997x = 4,453,343,643.18
  5. Step 5: Solve for x
    x = 4,453,343,643.18/75,997
  6. Step 6: Final answer
    x = 58,598.94

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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.