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Finding the Fourth Proportional to 35,929.67, 49,223.87 and 34,582.90

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Solution

The fourth proportional to 35,929.67, 49,223.87 and 34,582.90 is: 47,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.67 : 49,223.87 = 34,582.90 : x
  2. Step 2: Convert to fraction form
    35,929.67/49,223.87 = 34,582.90/x
  3. Step 3: Cross multiply
    35,929.67x = 49,223.87 × 34,582.90
  4. Step 4: Simplify right side
    35,929.67x = 1,702,304,137.22
  5. Step 5: Solve for x
    x = 1,702,304,137.22/35,929.67
  6. Step 6: Final answer
    x = 47,378.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.