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Finding the Fourth Proportional to 29,209.32, 43,814.34 and 8,433

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Solution

The fourth proportional to 29,209.32, 43,814.34 and 8,433 is: 12,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,209.32 : 43,814.34 = 8,433 : x
  2. Step 2: Convert to fraction form
    29,209.32/43,814.34 = 8,433/x
  3. Step 3: Cross multiply
    29,209.32x = 43,814.34 × 8,433
  4. Step 4: Simplify right side
    29,209.32x = 369,486,329.22
  5. Step 5: Solve for x
    x = 369,486,329.22/29,209.32
  6. Step 6: Final answer
    x = 12,649.60

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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.