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Finding the Fourth Proportional to 29,785.86, 41,113.71 and 19,175.50

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Solution

The fourth proportional to 29,785.86, 41,113.71 and 19,175.50 is: 26,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.86 : 41,113.71 = 19,175.50 : x
  2. Step 2: Convert to fraction form
    29,785.86/41,113.71 = 19,175.50/x
  3. Step 3: Cross multiply
    29,785.86x = 41,113.71 × 19,175.50
  4. Step 4: Simplify right side
    29,785.86x = 788,375,997.50
  5. Step 5: Solve for x
    x = 788,375,997.50/29,785.86
  6. Step 6: Final answer
    x = 26,468.13

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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.