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Finding the Fourth Proportional to 35,509.62, 49,021.01 and 22,085.20

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Solution

The fourth proportional to 35,509.62, 49,021.01 and 22,085.20 is: 30,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.62 : 49,021.01 = 22,085.20 : x
  2. Step 2: Convert to fraction form
    35,509.62/49,021.01 = 22,085.20/x
  3. Step 3: Cross multiply
    35,509.62x = 49,021.01 × 22,085.20
  4. Step 4: Simplify right side
    35,509.62x = 1,082,638,967.95
  5. Step 5: Solve for x
    x = 1,082,638,967.95/35,509.62
  6. Step 6: Final answer
    x = 30,488.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.