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Finding the Fourth Proportional to 38,644.32, 53,329.86 and 21,648.42

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Solution

The fourth proportional to 38,644.32, 53,329.86 and 21,648.42 is: 29,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.32 : 53,329.86 = 21,648.42 : x
  2. Step 2: Convert to fraction form
    38,644.32/53,329.86 = 21,648.42/x
  3. Step 3: Cross multiply
    38,644.32x = 53,329.86 × 21,648.42
  4. Step 4: Simplify right side
    38,644.32x = 1,154,507,207.82
  5. Step 5: Solve for x
    x = 1,154,507,207.82/38,644.32
  6. Step 6: Final answer
    x = 29,875.21

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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.