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Finding the Fourth Proportional to 38,449.50, 53,060.31 and 21,683.58

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Solution

The fourth proportional to 38,449.50, 53,060.31 and 21,683.58 is: 29,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449.50 : 53,060.31 = 21,683.58 : x
  2. Step 2: Convert to fraction form
    38,449.50/53,060.31 = 21,683.58/x
  3. Step 3: Cross multiply
    38,449.50x = 53,060.31 × 21,683.58
  4. Step 4: Simplify right side
    38,449.50x = 1,150,537,476.71
  5. Step 5: Solve for x
    x = 1,150,537,476.71/38,449.50
  6. Step 6: Final answer
    x = 29,923.34

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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.