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Finding the Fourth Proportional to 47,805.66, 71,699.04 and 45,434.88

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Solution

The fourth proportional to 47,805.66, 71,699.04 and 45,434.88 is: 68,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.66 : 71,699.04 = 45,434.88 : x
  2. Step 2: Convert to fraction form
    47,805.66/71,699.04 = 45,434.88/x
  3. Step 3: Cross multiply
    47,805.66x = 71,699.04 × 45,434.88
  4. Step 4: Simplify right side
    47,805.66x = 3,257,637,278.52
  5. Step 5: Solve for x
    x = 3,257,637,278.52/47,805.66
  6. Step 6: Final answer
    x = 68,143.34

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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.