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Finding the Fourth Proportional to 32,858.57, 49,322.93 and 14,147.87

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Solution

The fourth proportional to 32,858.57, 49,322.93 and 14,147.87 is: 21,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.57 : 49,322.93 = 14,147.87 : x
  2. Step 2: Convert to fraction form
    32,858.57/49,322.93 = 14,147.87/x
  3. Step 3: Cross multiply
    32,858.57x = 49,322.93 × 14,147.87
  4. Step 4: Simplify right side
    32,858.57x = 697,814,401.66
  5. Step 5: Solve for x
    x = 697,814,401.66/32,858.57
  6. Step 6: Final answer
    x = 21,236.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.