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Finding the Fourth Proportional to 97,517.60, 146,288.46 and 34,322.84

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Solution

The fourth proportional to 97,517.60, 146,288.46 and 34,322.84 is: 51,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,517.60 : 146,288.46 = 34,322.84 : x
  2. Step 2: Convert to fraction form
    97,517.60/146,288.46 = 34,322.84/x
  3. Step 3: Cross multiply
    97,517.60x = 146,288.46 × 34,322.84
  4. Step 4: Simplify right side
    97,517.60x = 5,021,035,406.43
  5. Step 5: Solve for x
    x = 5,021,035,406.43/97,517.60
  6. Step 6: Final answer
    x = 51,488.50

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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.