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Finding the Fourth Proportional to 103,888.78, 155,857.24 and 32,818.46

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Solution

The fourth proportional to 103,888.78, 155,857.24 and 32,818.46 is: 49,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,888.78 : 155,857.24 = 32,818.46 : x
  2. Step 2: Convert to fraction form
    103,888.78/155,857.24 = 32,818.46/x
  3. Step 3: Cross multiply
    103,888.78x = 155,857.24 × 32,818.46
  4. Step 4: Simplify right side
    103,888.78x = 5,114,994,596.65
  5. Step 5: Solve for x
    x = 5,114,994,596.65/103,888.78
  6. Step 6: Final answer
    x = 49,235.29

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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.