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Finding the Fourth Proportional to 70,542.09, 105,827.72 and 23,793.75

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Solution

The fourth proportional to 70,542.09, 105,827.72 and 23,793.75 is: 35,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542.09 : 105,827.72 = 23,793.75 : x
  2. Step 2: Convert to fraction form
    70,542.09/105,827.72 = 23,793.75/x
  3. Step 3: Cross multiply
    70,542.09x = 105,827.72 × 23,793.75
  4. Step 4: Simplify right side
    70,542.09x = 2,518,038,193.78
  5. Step 5: Solve for x
    x = 2,518,038,193.78/70,542.09
  6. Step 6: Final answer
    x = 35,695.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.