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Finding the Fourth Proportional to 47,049.88, 64,929.90 and 25,830.64

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Solution

The fourth proportional to 47,049.88, 64,929.90 and 25,830.64 is: 35,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,049.88 : 64,929.90 = 25,830.64 : x
  2. Step 2: Convert to fraction form
    47,049.88/64,929.90 = 25,830.64/x
  3. Step 3: Cross multiply
    47,049.88x = 64,929.90 × 25,830.64
  4. Step 4: Simplify right side
    47,049.88x = 1,677,180,872.14
  5. Step 5: Solve for x
    x = 1,677,180,872.14/47,049.88
  6. Step 6: Final answer
    x = 35,646.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.