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Finding the Fourth Proportional to 29,165.74, 40,211.87 and 19,078.20

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Solution

The fourth proportional to 29,165.74, 40,211.87 and 19,078.20 is: 26,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.74 : 40,211.87 = 19,078.20 : x
  2. Step 2: Convert to fraction form
    29,165.74/40,211.87 = 19,078.20/x
  3. Step 3: Cross multiply
    29,165.74x = 40,211.87 × 19,078.20
  4. Step 4: Simplify right side
    29,165.74x = 767,170,002.84
  5. Step 5: Solve for x
    x = 767,170,002.84/29,165.74
  6. Step 6: Final answer
    x = 26,303.81

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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.