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Finding the Fourth Proportional to 38,144.16, 52,644.39 and 21,152.19

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Solution

The fourth proportional to 38,144.16, 52,644.39 and 21,152.19 is: 29,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.16 : 52,644.39 = 21,152.19 : x
  2. Step 2: Convert to fraction form
    38,144.16/52,644.39 = 21,152.19/x
  3. Step 3: Cross multiply
    38,144.16x = 52,644.39 × 21,152.19
  4. Step 4: Simplify right side
    38,144.16x = 1,113,544,139.71
  5. Step 5: Solve for x
    x = 1,113,544,139.71/38,144.16
  6. Step 6: Final answer
    x = 29,193.04

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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.