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Finding the Fourth Proportional to 53,198.22, 79,697.67 and 47,721

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Solution

The fourth proportional to 53,198.22, 79,697.67 and 47,721 is: 71,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.22 : 79,697.67 = 47,721 : x
  2. Step 2: Convert to fraction form
    53,198.22/79,697.67 = 47,721/x
  3. Step 3: Cross multiply
    53,198.22x = 79,697.67 × 47,721
  4. Step 4: Simplify right side
    53,198.22x = 3,803,252,510.07
  5. Step 5: Solve for x
    x = 3,803,252,510.07/53,198.22
  6. Step 6: Final answer
    x = 71,492.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.