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Finding the Fourth Proportional to 97,881.75, 146,822.63 and 42,477.75

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Solution

The fourth proportional to 97,881.75, 146,822.63 and 42,477.75 is: 63,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.75 : 146,822.63 = 42,477.75 : x
  2. Step 2: Convert to fraction form
    97,881.75/146,822.63 = 42,477.75/x
  3. Step 3: Cross multiply
    97,881.75x = 146,822.63 × 42,477.75
  4. Step 4: Simplify right side
    97,881.75x = 6,236,694,759.09
  5. Step 5: Solve for x
    x = 6,236,694,759.09/97,881.75
  6. Step 6: Final answer
    x = 63,716.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.