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Finding the Fourth Proportional to 32,733, 49,099.50 and 14,265

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Solution

The fourth proportional to 32,733, 49,099.50 and 14,265 is: 21,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733 : 49,099.50 = 14,265 : x
  2. Step 2: Convert to fraction form
    32,733/49,099.50 = 14,265/x
  3. Step 3: Cross multiply
    32,733x = 49,099.50 × 14,265
  4. Step 4: Simplify right side
    32,733x = 700,404,367.50
  5. Step 5: Solve for x
    x = 700,404,367.50/32,733
  6. Step 6: Final answer
    x = 21,397.50

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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.