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Finding the Fourth Proportional to 32,209.52, 48,312.12 and 8,834

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Solution

The fourth proportional to 32,209.52, 48,312.12 and 8,834 is: 13,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.52 : 48,312.12 = 8,834 : x
  2. Step 2: Convert to fraction form
    32,209.52/48,312.12 = 8,834/x
  3. Step 3: Cross multiply
    32,209.52x = 48,312.12 × 8,834
  4. Step 4: Simplify right side
    32,209.52x = 426,789,268.08
  5. Step 5: Solve for x
    x = 426,789,268.08/32,209.52
  6. Step 6: Final answer
    x = 13,250.41

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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.