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Finding the Fourth Proportional to 34,783.62, 52,167.51 and 9,826.26

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Solution

The fourth proportional to 34,783.62, 52,167.51 and 9,826.26 is: 14,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,783.62 : 52,167.51 = 9,826.26 : x
  2. Step 2: Convert to fraction form
    34,783.62/52,167.51 = 9,826.26/x
  3. Step 3: Cross multiply
    34,783.62x = 52,167.51 × 9,826.26
  4. Step 4: Simplify right side
    34,783.62x = 512,611,516.81
  5. Step 5: Solve for x
    x = 512,611,516.81/34,783.62
  6. Step 6: Final answer
    x = 14,737.15

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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.