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Finding the Fourth Proportional to 38,717, 53,430.02 and 22,583.86

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Solution

The fourth proportional to 38,717, 53,430.02 and 22,583.86 is: 31,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,717 : 53,430.02 = 22,583.86 : x
  2. Step 2: Convert to fraction form
    38,717/53,430.02 = 22,583.86/x
  3. Step 3: Cross multiply
    38,717x = 53,430.02 × 22,583.86
  4. Step 4: Simplify right side
    38,717x = 1,206,656,091.48
  5. Step 5: Solve for x
    x = 1,206,656,091.48/38,717
  6. Step 6: Final answer
    x = 31,166.05

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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.