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Finding the Fourth Proportional to 35,324.32, 52,986.34 and 9,029.02

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Solution

The fourth proportional to 35,324.32, 52,986.34 and 9,029.02 is: 13,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,324.32 : 52,986.34 = 9,029.02 : x
  2. Step 2: Convert to fraction form
    35,324.32/52,986.34 = 9,029.02/x
  3. Step 3: Cross multiply
    35,324.32x = 52,986.34 × 9,029.02
  4. Step 4: Simplify right side
    35,324.32x = 478,414,723.59
  5. Step 5: Solve for x
    x = 478,414,723.59/35,324.32
  6. Step 6: Final answer
    x = 13,543.49

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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.