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Finding the Fourth Proportional to 32,893, 49,339.50 and 8,269

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Solution

The fourth proportional to 32,893, 49,339.50 and 8,269 is: 12,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893 : 49,339.50 = 8,269 : x
  2. Step 2: Convert to fraction form
    32,893/49,339.50 = 8,269/x
  3. Step 3: Cross multiply
    32,893x = 49,339.50 × 8,269
  4. Step 4: Simplify right side
    32,893x = 407,988,325.50
  5. Step 5: Solve for x
    x = 407,988,325.50/32,893
  6. Step 6: Final answer
    x = 12,403.50

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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.