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Finding the Fourth Proportional to 29,138.13, 43,710.84 and 10,415.59

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Solution

The fourth proportional to 29,138.13, 43,710.84 and 10,415.59 is: 15,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.13 : 43,710.84 = 10,415.59 : x
  2. Step 2: Convert to fraction form
    29,138.13/43,710.84 = 10,415.59/x
  3. Step 3: Cross multiply
    29,138.13x = 43,710.84 × 10,415.59
  4. Step 4: Simplify right side
    29,138.13x = 455,274,078.72
  5. Step 5: Solve for x
    x = 455,274,078.72/29,138.13
  6. Step 6: Final answer
    x = 15,624.68

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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.