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Finding the Fourth Proportional to 38,418.88, 53,023.25 and 22,509.67

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Solution

The fourth proportional to 38,418.88, 53,023.25 and 22,509.67 is: 31,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418.88 : 53,023.25 = 22,509.67 : x
  2. Step 2: Convert to fraction form
    38,418.88/53,023.25 = 22,509.67/x
  3. Step 3: Cross multiply
    38,418.88x = 53,023.25 × 22,509.67
  4. Step 4: Simplify right side
    38,418.88x = 1,193,535,792.57
  5. Step 5: Solve for x
    x = 1,193,535,792.57/38,418.88
  6. Step 6: Final answer
    x = 31,066.39

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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.