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Finding the Fourth Proportional to 36,599, 50,506.68 and 19,832

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Solution

The fourth proportional to 36,599, 50,506.68 and 19,832 is: 27,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,599 : 50,506.68 = 19,832 : x
  2. Step 2: Convert to fraction form
    36,599/50,506.68 = 19,832/x
  3. Step 3: Cross multiply
    36,599x = 50,506.68 × 19,832
  4. Step 4: Simplify right side
    36,599x = 1,001,648,477.76
  5. Step 5: Solve for x
    x = 1,001,648,477.76/36,599
  6. Step 6: Final answer
    x = 27,368.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.