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Finding the Fourth Proportional to 100,388.42, 150,527.64 and 46,294.39

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Solution

The fourth proportional to 100,388.42, 150,527.64 and 46,294.39 is: 69,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,388.42 : 150,527.64 = 46,294.39 : x
  2. Step 2: Convert to fraction form
    100,388.42/150,527.64 = 46,294.39/x
  3. Step 3: Cross multiply
    100,388.42x = 150,527.64 × 46,294.39
  4. Step 4: Simplify right side
    100,388.42x = 6,968,584,519.30
  5. Step 5: Solve for x
    x = 6,968,584,519.30/100,388.42
  6. Step 6: Final answer
    x = 69,416.22

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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.