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Finding the Fourth Proportional to 32,733, 49,102.67 and 13,007.14

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Solution

The fourth proportional to 32,733, 49,102.67 and 13,007.14 is: 19,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733 : 49,102.67 = 13,007.14 : x
  2. Step 2: Convert to fraction form
    32,733/49,102.67 = 13,007.14/x
  3. Step 3: Cross multiply
    32,733x = 49,102.67 × 13,007.14
  4. Step 4: Simplify right side
    32,733x = 638,685,303.06
  5. Step 5: Solve for x
    x = 638,685,303.06/32,733
  6. Step 6: Final answer
    x = 19,511.97

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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.