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Finding the Fourth Proportional to 52,138.68, 71,950.44 and 29,477.28

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Solution

The fourth proportional to 52,138.68, 71,950.44 and 29,477.28 is: 40,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.68 : 71,950.44 = 29,477.28 : x
  2. Step 2: Convert to fraction form
    52,138.68/71,950.44 = 29,477.28/x
  3. Step 3: Cross multiply
    52,138.68x = 71,950.44 × 29,477.28
  4. Step 4: Simplify right side
    52,138.68x = 2,120,903,266.00
  5. Step 5: Solve for x
    x = 2,120,903,266.00/52,138.68
  6. Step 6: Final answer
    x = 40,678.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.