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Finding the Fourth Proportional to 32,572.94, 48,863.66 and 9,199.98

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Solution

The fourth proportional to 32,572.94, 48,863.66 and 9,199.98 is: 13,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572.94 : 48,863.66 = 9,199.98 : x
  2. Step 2: Convert to fraction form
    32,572.94/48,863.66 = 9,199.98/x
  3. Step 3: Cross multiply
    32,572.94x = 48,863.66 × 9,199.98
  4. Step 4: Simplify right side
    32,572.94x = 449,544,648.73
  5. Step 5: Solve for x
    x = 449,544,648.73/32,572.94
  6. Step 6: Final answer
    x = 13,801.17

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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.