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Finding the Fourth Proportional to 39,113.37, 53,968.14 and 23,202.99

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Solution

The fourth proportional to 39,113.37, 53,968.14 and 23,202.99 is: 32,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,113.37 : 53,968.14 = 23,202.99 : x
  2. Step 2: Convert to fraction form
    39,113.37/53,968.14 = 23,202.99/x
  3. Step 3: Cross multiply
    39,113.37x = 53,968.14 × 23,202.99
  4. Step 4: Simplify right side
    39,113.37x = 1,252,222,212.74
  5. Step 5: Solve for x
    x = 1,252,222,212.74/39,113.37
  6. Step 6: Final answer
    x = 32,015.20

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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.