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Finding the Fourth Proportional to 32,889, 49,334.08 and 10,702.28

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Solution

The fourth proportional to 32,889, 49,334.08 and 10,702.28 is: 16,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889 : 49,334.08 = 10,702.28 : x
  2. Step 2: Convert to fraction form
    32,889/49,334.08 = 10,702.28/x
  3. Step 3: Cross multiply
    32,889x = 49,334.08 × 10,702.28
  4. Step 4: Simplify right side
    32,889x = 527,987,137.70
  5. Step 5: Solve for x
    x = 527,987,137.70/32,889
  6. Step 6: Final answer
    x = 16,053.61

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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.