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Finding the Fourth Proportional to 70,652.00, 105,969.54 and 23,255.31

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Solution

The fourth proportional to 70,652.00, 105,969.54 and 23,255.31 is: 34,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652.00 : 105,969.54 = 23,255.31 : x
  2. Step 2: Convert to fraction form
    70,652.00/105,969.54 = 23,255.31/x
  3. Step 3: Cross multiply
    70,652.00x = 105,969.54 × 23,255.31
  4. Step 4: Simplify right side
    70,652.00x = 2,464,354,416.05
  5. Step 5: Solve for x
    x = 2,464,354,416.05/70,652.00
  6. Step 6: Final answer
    x = 34,880.18

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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.