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Finding the Fourth Proportional to 100,376, 150,572.72 and 26,504

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Solution

The fourth proportional to 100,376, 150,572.72 and 26,504 is: 39,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,376 : 150,572.72 = 26,504 : x
  2. Step 2: Convert to fraction form
    100,376/150,572.72 = 26,504/x
  3. Step 3: Cross multiply
    100,376x = 150,572.72 × 26,504
  4. Step 4: Simplify right side
    100,376x = 3,990,779,370.88
  5. Step 5: Solve for x
    x = 3,990,779,370.88/100,376
  6. Step 6: Final answer
    x = 39,758.30

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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.