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Finding the Fourth Proportional to 32,854, 49,288.80 and 10,667.44

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Solution

The fourth proportional to 32,854, 49,288.80 and 10,667.44 is: 16,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854 : 49,288.80 = 10,667.44 : x
  2. Step 2: Convert to fraction form
    32,854/49,288.80 = 10,667.44/x
  3. Step 3: Cross multiply
    32,854x = 49,288.80 × 10,667.44
  4. Step 4: Simplify right side
    32,854x = 525,785,316.67
  5. Step 5: Solve for x
    x = 525,785,316.67/32,854
  6. Step 6: Final answer
    x = 16,003.69

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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.