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Finding the Fourth Proportional to 39,509.76, 54,522.24 and 22,742.40

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Solution

The fourth proportional to 39,509.76, 54,522.24 and 22,742.40 is: 31,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,509.76 : 54,522.24 = 22,742.40 : x
  2. Step 2: Convert to fraction form
    39,509.76/54,522.24 = 22,742.40/x
  3. Step 3: Cross multiply
    39,509.76x = 54,522.24 × 22,742.40
  4. Step 4: Simplify right side
    39,509.76x = 1,239,966,590.98
  5. Step 5: Solve for x
    x = 1,239,966,590.98/39,509.76
  6. Step 6: Final answer
    x = 31,383.80

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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.