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Finding the Fourth Proportional to 35,031.52, 52,548 and 11,658.16

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Solution

The fourth proportional to 35,031.52, 52,548 and 11,658.16 is: 17,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031.52 : 52,548 = 11,658.16 : x
  2. Step 2: Convert to fraction form
    35,031.52/52,548 = 11,658.16/x
  3. Step 3: Cross multiply
    35,031.52x = 52,548 × 11,658.16
  4. Step 4: Simplify right side
    35,031.52x = 612,612,991.68
  5. Step 5: Solve for x
    x = 612,612,991.68/35,031.52
  6. Step 6: Final answer
    x = 17,487.48

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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.