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Finding the Fourth Proportional to 72,755.40, 109,149.54 and 22,835.31

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Solution

The fourth proportional to 72,755.40, 109,149.54 and 22,835.31 is: 34,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,755.40 : 109,149.54 = 22,835.31 : x
  2. Step 2: Convert to fraction form
    72,755.40/109,149.54 = 22,835.31/x
  3. Step 3: Cross multiply
    72,755.40x = 109,149.54 × 22,835.31
  4. Step 4: Simplify right side
    72,755.40x = 2,492,463,582.26
  5. Step 5: Solve for x
    x = 2,492,463,582.26/72,755.40
  6. Step 6: Final answer
    x = 34,258.12

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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.