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Finding the Fourth Proportional to 97,499.63, 146,230.94 and 47,529.47

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Solution

The fourth proportional to 97,499.63, 146,230.94 and 47,529.47 is: 71,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,499.63 : 146,230.94 = 47,529.47 : x
  2. Step 2: Convert to fraction form
    97,499.63/146,230.94 = 47,529.47/x
  3. Step 3: Cross multiply
    97,499.63x = 146,230.94 × 47,529.47
  4. Step 4: Simplify right side
    97,499.63x = 6,950,278,107.00
  5. Step 5: Solve for x
    x = 6,950,278,107.00/97,499.63
  6. Step 6: Final answer
    x = 71,285.18

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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.