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Finding the Fourth Proportional to 100,165.28, 150,306.93 and 37,030.01

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Solution

The fourth proportional to 100,165.28, 150,306.93 and 37,030.01 is: 55,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.28 : 150,306.93 = 37,030.01 : x
  2. Step 2: Convert to fraction form
    100,165.28/150,306.93 = 37,030.01/x
  3. Step 3: Cross multiply
    100,165.28x = 150,306.93 × 37,030.01
  4. Step 4: Simplify right side
    100,165.28x = 5,565,866,369.43
  5. Step 5: Solve for x
    x = 5,565,866,369.43/100,165.28
  6. Step 6: Final answer
    x = 55,566.83

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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.