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Finding the Fourth Proportional to 35,124.64, 52,676 and 11,745.62

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Solution

The fourth proportional to 35,124.64, 52,676 and 11,745.62 is: 17,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,124.64 : 52,676 = 11,745.62 : x
  2. Step 2: Convert to fraction form
    35,124.64/52,676 = 11,745.62/x
  3. Step 3: Cross multiply
    35,124.64x = 52,676 × 11,745.62
  4. Step 4: Simplify right side
    35,124.64x = 618,712,279.12
  5. Step 5: Solve for x
    x = 618,712,279.12/35,124.64
  6. Step 6: Final answer
    x = 17,614.76

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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.