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Finding the Fourth Proportional to 38,467.08, 53,082.52 and 21,699

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Solution

The fourth proportional to 38,467.08, 53,082.52 and 21,699 is: 29,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.08 : 53,082.52 = 21,699 : x
  2. Step 2: Convert to fraction form
    38,467.08/53,082.52 = 21,699/x
  3. Step 3: Cross multiply
    38,467.08x = 53,082.52 × 21,699
  4. Step 4: Simplify right side
    38,467.08x = 1,151,837,601.48
  5. Step 5: Solve for x
    x = 1,151,837,601.48/38,467.08
  6. Step 6: Final answer
    x = 29,943.46

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