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Finding the Fourth Proportional to 100,385.66, 150,523.52 and 46,291.64

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Solution

The fourth proportional to 100,385.66, 150,523.52 and 46,291.64 is: 69,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.66 : 150,523.52 = 46,291.64 : x
  2. Step 2: Convert to fraction form
    100,385.66/150,523.52 = 46,291.64/x
  3. Step 3: Cross multiply
    100,385.66x = 150,523.52 × 46,291.64
  4. Step 4: Simplify right side
    100,385.66x = 6,967,979,615.30
  5. Step 5: Solve for x
    x = 6,967,979,615.30/100,385.66
  6. Step 6: Final answer
    x = 69,412.10

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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.