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Finding the Fourth Proportional to 97,689.99, 146,502.86 and 34,498.65

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Solution

The fourth proportional to 97,689.99, 146,502.86 and 34,498.65 is: 51,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689.99 : 146,502.86 = 34,498.65 : x
  2. Step 2: Convert to fraction form
    97,689.99/146,502.86 = 34,498.65/x
  3. Step 3: Cross multiply
    97,689.99x = 146,502.86 × 34,498.65
  4. Step 4: Simplify right side
    97,689.99x = 5,054,150,718.65
  5. Step 5: Solve for x
    x = 5,054,150,718.65/97,689.99
  6. Step 6: Final answer
    x = 51,736.63

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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.