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Finding the Fourth Proportional to 38,349, 52,926.48 and 21,585.24

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Solution

The fourth proportional to 38,349, 52,926.48 and 21,585.24 is: 29,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349 : 52,926.48 = 21,585.24 : x
  2. Step 2: Convert to fraction form
    38,349/52,926.48 = 21,585.24/x
  3. Step 3: Cross multiply
    38,349x = 52,926.48 × 21,585.24
  4. Step 4: Simplify right side
    38,349x = 1,142,430,773.16
  5. Step 5: Solve for x
    x = 1,142,430,773.16/38,349
  6. Step 6: Final answer
    x = 29,790.37

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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.