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Finding the Fourth Proportional to 100,024, 150,037.44 and 26,152

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Solution

The fourth proportional to 100,024, 150,037.44 and 26,152 is: 39,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024 : 150,037.44 = 26,152 : x
  2. Step 2: Convert to fraction form
    100,024/150,037.44 = 26,152/x
  3. Step 3: Cross multiply
    100,024x = 150,037.44 × 26,152
  4. Step 4: Simplify right side
    100,024x = 3,923,779,130.88
  5. Step 5: Solve for x
    x = 3,923,779,130.88/100,024
  6. Step 6: Final answer
    x = 39,228.38

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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.