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Finding the Fourth Proportional to 35,102.52, 52,646.02 and 10,137.15

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Solution

The fourth proportional to 35,102.52, 52,646.02 and 10,137.15 is: 15,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.52 : 52,646.02 = 10,137.15 : x
  2. Step 2: Convert to fraction form
    35,102.52/52,646.02 = 10,137.15/x
  3. Step 3: Cross multiply
    35,102.52x = 52,646.02 × 10,137.15
  4. Step 4: Simplify right side
    35,102.52x = 533,680,576.30
  5. Step 5: Solve for x
    x = 533,680,576.30/35,102.52
  6. Step 6: Final answer
    x = 15,203.48

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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.