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Finding the Fourth Proportional to 34,507.71, 51,773.72 and 16,989.84

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Solution

The fourth proportional to 34,507.71, 51,773.72 and 16,989.84 is: 25,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.71 : 51,773.72 = 16,989.84 : x
  2. Step 2: Convert to fraction form
    34,507.71/51,773.72 = 16,989.84/x
  3. Step 3: Cross multiply
    34,507.71x = 51,773.72 × 16,989.84
  4. Step 4: Simplify right side
    34,507.71x = 879,627,219.00
  5. Step 5: Solve for x
    x = 879,627,219.00/34,507.71
  6. Step 6: Final answer
    x = 25,490.74

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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.