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Finding the Fourth Proportional to 72,954.48, 109,448.64 and 23,039.52

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Solution

The fourth proportional to 72,954.48, 109,448.64 and 23,039.52 is: 34,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954.48 : 109,448.64 = 23,039.52 : x
  2. Step 2: Convert to fraction form
    72,954.48/109,448.64 = 23,039.52/x
  3. Step 3: Cross multiply
    72,954.48x = 109,448.64 × 23,039.52
  4. Step 4: Simplify right side
    72,954.48x = 2,521,644,130.25
  5. Step 5: Solve for x
    x = 2,521,644,130.25/72,954.48
  6. Step 6: Final answer
    x = 34,564.62

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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.