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Finding the Fourth Proportional to 39,324.90, 54,269.32 and 21,420.86

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Solution

The fourth proportional to 39,324.90, 54,269.32 and 21,420.86 is: 29,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,324.90 : 54,269.32 = 21,420.86 : x
  2. Step 2: Convert to fraction form
    39,324.90/54,269.32 = 21,420.86/x
  3. Step 3: Cross multiply
    39,324.90x = 54,269.32 × 21,420.86
  4. Step 4: Simplify right side
    39,324.90x = 1,162,495,506.02
  5. Step 5: Solve for x
    x = 1,162,495,506.02/39,324.90
  6. Step 6: Final answer
    x = 29,561.31

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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.