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Finding the Fourth Proportional to 101,164.61, 151,763.40 and 37,989.65

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Solution

The fourth proportional to 101,164.61, 151,763.40 and 37,989.65 is: 56,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,164.61 : 151,763.40 = 37,989.65 : x
  2. Step 2: Convert to fraction form
    101,164.61/151,763.40 = 37,989.65/x
  3. Step 3: Cross multiply
    101,164.61x = 151,763.40 × 37,989.65
  4. Step 4: Simplify right side
    101,164.61x = 5,765,437,689.99
  5. Step 5: Solve for x
    x = 5,765,437,689.99/101,164.61
  6. Step 6: Final answer
    x = 56,990.66

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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.