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Finding the Fourth Proportional to 100,572, 150,877.44 and 38,237.64

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Solution

The fourth proportional to 100,572, 150,877.44 and 38,237.64 is: 57,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572 : 150,877.44 = 38,237.64 : x
  2. Step 2: Convert to fraction form
    100,572/150,877.44 = 38,237.64/x
  3. Step 3: Cross multiply
    100,572x = 150,877.44 × 38,237.64
  4. Step 4: Simplify right side
    100,572x = 5,769,197,234.84
  5. Step 5: Solve for x
    x = 5,769,197,234.84/100,572
  6. Step 6: Final answer
    x = 57,363.85

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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.