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Finding the Fourth Proportional to 35,612, 53,418.72 and 9,319.04

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Solution

The fourth proportional to 35,612, 53,418.72 and 9,319.04 is: 13,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612 : 53,418.72 = 9,319.04 : x
  2. Step 2: Convert to fraction form
    35,612/53,418.72 = 9,319.04/x
  3. Step 3: Cross multiply
    35,612x = 53,418.72 × 9,319.04
  4. Step 4: Simplify right side
    35,612x = 497,811,188.43
  5. Step 5: Solve for x
    x = 497,811,188.43/35,612
  6. Step 6: Final answer
    x = 13,978.75

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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.