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Finding the Fourth Proportional to 34,088, 47,043.36 and 19,184.96

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Solution

The fourth proportional to 34,088, 47,043.36 and 19,184.96 is: 26,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,088 : 47,043.36 = 19,184.96 : x
  2. Step 2: Convert to fraction form
    34,088/47,043.36 = 19,184.96/x
  3. Step 3: Cross multiply
    34,088x = 47,043.36 × 19,184.96
  4. Step 4: Simplify right side
    34,088x = 902,524,979.87
  5. Step 5: Solve for x
    x = 902,524,979.87/34,088
  6. Step 6: Final answer
    x = 26,476.33

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Why These Related Problems?

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