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Finding the Fourth Proportional to 97,573.65, 146,360.49 and 31,013.79

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Solution

The fourth proportional to 97,573.65, 146,360.49 and 31,013.79 is: 46,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,573.65 : 146,360.49 = 31,013.79 : x
  2. Step 2: Convert to fraction form
    97,573.65/146,360.49 = 31,013.79/x
  3. Step 3: Cross multiply
    97,573.65x = 146,360.49 × 31,013.79
  4. Step 4: Simplify right side
    97,573.65x = 4,539,192,836.00
  5. Step 5: Solve for x
    x = 4,539,192,836.00/97,573.65
  6. Step 6: Final answer
    x = 46,520.68

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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.