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Finding the Fourth Proportional to 38,505.29, 53,138.43 and 21,510.25

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Solution

The fourth proportional to 38,505.29, 53,138.43 and 21,510.25 is: 29,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.29 : 53,138.43 = 21,510.25 : x
  2. Step 2: Convert to fraction form
    38,505.29/53,138.43 = 21,510.25/x
  3. Step 3: Cross multiply
    38,505.29x = 53,138.43 × 21,510.25
  4. Step 4: Simplify right side
    38,505.29x = 1,143,020,781.06
  5. Step 5: Solve for x
    x = 1,143,020,781.06/38,505.29
  6. Step 6: Final answer
    x = 29,684.78

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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.