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Finding the Fourth Proportional to 100,346.42, 150,518.94 and 24,444.06

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Solution

The fourth proportional to 100,346.42, 150,518.94 and 24,444.06 is: 36,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,346.42 : 150,518.94 = 24,444.06 : x
  2. Step 2: Convert to fraction form
    100,346.42/150,518.94 = 24,444.06/x
  3. Step 3: Cross multiply
    100,346.42x = 150,518.94 × 24,444.06
  4. Step 4: Simplify right side
    100,346.42x = 3,679,294,000.50
  5. Step 5: Solve for x
    x = 3,679,294,000.50/100,346.42
  6. Step 6: Final answer
    x = 36,665.92

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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.