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Finding the Fourth Proportional to 34,027.71, 51,088.95 and 17,400.84

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Solution

The fourth proportional to 34,027.71, 51,088.95 and 17,400.84 is: 26,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027.71 : 51,088.95 = 17,400.84 : x
  2. Step 2: Convert to fraction form
    34,027.71/51,088.95 = 17,400.84/x
  3. Step 3: Cross multiply
    34,027.71x = 51,088.95 × 17,400.84
  4. Step 4: Simplify right side
    34,027.71x = 888,990,644.72
  5. Step 5: Solve for x
    x = 888,990,644.72/34,027.71
  6. Step 6: Final answer
    x = 26,125.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.