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Finding the Fourth Proportional to 97,892.75, 146,836.80 and 31,332.62

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Solution

The fourth proportional to 97,892.75, 146,836.80 and 31,332.62 is: 46,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,892.75 : 146,836.80 = 31,332.62 : x
  2. Step 2: Convert to fraction form
    97,892.75/146,836.80 = 31,332.62/x
  3. Step 3: Cross multiply
    97,892.75x = 146,836.80 × 31,332.62
  4. Step 4: Simplify right side
    97,892.75x = 4,600,782,023.51
  5. Step 5: Solve for x
    x = 4,600,782,023.51/97,892.75
  6. Step 6: Final answer
    x = 46,998.19

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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.