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Finding the Fourth Proportional to 33,051, 49,566.78 and 9,671.88

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Solution

The fourth proportional to 33,051, 49,566.78 and 9,671.88 is: 14,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051 : 49,566.78 = 9,671.88 : x
  2. Step 2: Convert to fraction form
    33,051/49,566.78 = 9,671.88/x
  3. Step 3: Cross multiply
    33,051x = 49,566.78 × 9,671.88
  4. Step 4: Simplify right side
    33,051x = 479,403,948.15
  5. Step 5: Solve for x
    x = 479,403,948.15/33,051
  6. Step 6: Final answer
    x = 14,504.98

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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.