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Finding the Fourth Proportional to 32,858.36, 49,311.28 and 13,142.40

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Solution

The fourth proportional to 32,858.36, 49,311.28 and 13,142.40 is: 19,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.36 : 49,311.28 = 13,142.40 : x
  2. Step 2: Convert to fraction form
    32,858.36/49,311.28 = 13,142.40/x
  3. Step 3: Cross multiply
    32,858.36x = 49,311.28 × 13,142.40
  4. Step 4: Simplify right side
    32,858.36x = 648,068,566.27
  5. Step 5: Solve for x
    x = 648,068,566.27/32,858.36
  6. Step 6: Final answer
    x = 19,723.10

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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.