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Finding the Fourth Proportional to 36,466, 50,323.10 and 19,699

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Solution

The fourth proportional to 36,466, 50,323.10 and 19,699 is: 27,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,466 : 50,323.10 = 19,699 : x
  2. Step 2: Convert to fraction form
    36,466/50,323.10 = 19,699/x
  3. Step 3: Cross multiply
    36,466x = 50,323.10 × 19,699
  4. Step 4: Simplify right side
    36,466x = 991,314,746.90
  5. Step 5: Solve for x
    x = 991,314,746.90/36,466
  6. Step 6: Final answer
    x = 27,184.63

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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.