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Finding the Fourth Proportional to 100,418.76, 150,468.24 and 53,032.08

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Solution

The fourth proportional to 100,418.76, 150,468.24 and 53,032.08 is: 79,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418.76 : 150,468.24 = 53,032.08 : x
  2. Step 2: Convert to fraction form
    100,418.76/150,468.24 = 53,032.08/x
  3. Step 3: Cross multiply
    100,418.76x = 150,468.24 × 53,032.08
  4. Step 4: Simplify right side
    100,418.76x = 7,979,643,741.14
  5. Step 5: Solve for x
    x = 7,979,643,741.14/100,418.76
  6. Step 6: Final answer
    x = 79,463.68

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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.