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Finding the Fourth Proportional to 38,464.86, 53,082.99 and 21,697.50

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Solution

The fourth proportional to 38,464.86, 53,082.99 and 21,697.50 is: 29,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.86 : 53,082.99 = 21,697.50 : x
  2. Step 2: Convert to fraction form
    38,464.86/53,082.99 = 21,697.50/x
  3. Step 3: Cross multiply
    38,464.86x = 53,082.99 × 21,697.50
  4. Step 4: Simplify right side
    38,464.86x = 1,151,768,175.53
  5. Step 5: Solve for x
    x = 1,151,768,175.53/38,464.86
  6. Step 6: Final answer
    x = 29,943.39

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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.