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Finding the Fourth Proportional to 34,164.19, 47,146.65 and 19,057.83

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Solution

The fourth proportional to 34,164.19, 47,146.65 and 19,057.83 is: 26,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.19 : 47,146.65 = 19,057.83 : x
  2. Step 2: Convert to fraction form
    34,164.19/47,146.65 = 19,057.83/x
  3. Step 3: Cross multiply
    34,164.19x = 47,146.65 × 19,057.83
  4. Step 4: Simplify right side
    34,164.19x = 898,512,840.77
  5. Step 5: Solve for x
    x = 898,512,840.77/34,164.19
  6. Step 6: Final answer
    x = 26,299.84

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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.