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Finding the Fourth Proportional to 114,756.65, 172,064.49 and 39,844.61

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Solution

The fourth proportional to 114,756.65, 172,064.49 and 39,844.61 is: 59,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,756.65 : 172,064.49 = 39,844.61 : x
  2. Step 2: Convert to fraction form
    114,756.65/172,064.49 = 39,844.61/x
  3. Step 3: Cross multiply
    114,756.65x = 172,064.49 × 39,844.61
  4. Step 4: Simplify right side
    114,756.65x = 6,855,841,638.58
  5. Step 5: Solve for x
    x = 6,855,841,638.58/114,756.65
  6. Step 6: Final answer
    x = 59,742.44

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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.