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Finding the Fourth Proportional to 36,802.32, 55,202.40 and 9,100.32

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Solution

The fourth proportional to 36,802.32, 55,202.40 and 9,100.32 is: 13,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.32 : 55,202.40 = 9,100.32 : x
  2. Step 2: Convert to fraction form
    36,802.32/55,202.40 = 9,100.32/x
  3. Step 3: Cross multiply
    36,802.32x = 55,202.40 × 9,100.32
  4. Step 4: Simplify right side
    36,802.32x = 502,359,504.77
  5. Step 5: Solve for x
    x = 502,359,504.77/36,802.32
  6. Step 6: Final answer
    x = 13,650.21

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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.