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Finding the Fourth Proportional to 38,174.63, 52,683.48 and 21,407.63

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Solution

The fourth proportional to 38,174.63, 52,683.48 and 21,407.63 is: 29,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.63 : 52,683.48 = 21,407.63 : x
  2. Step 2: Convert to fraction form
    38,174.63/52,683.48 = 21,407.63/x
  3. Step 3: Cross multiply
    38,174.63x = 52,683.48 × 21,407.63
  4. Step 4: Simplify right side
    38,174.63x = 1,127,828,183.54
  5. Step 5: Solve for x
    x = 1,127,828,183.54/38,174.63
  6. Step 6: Final answer
    x = 29,543.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.