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Finding the Fourth Proportional to 35,731, 53,621.07 and 12,357.46

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Solution

The fourth proportional to 35,731, 53,621.07 and 12,357.46 is: 18,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,731 : 53,621.07 = 12,357.46 : x
  2. Step 2: Convert to fraction form
    35,731/53,621.07 = 12,357.46/x
  3. Step 3: Cross multiply
    35,731x = 53,621.07 × 12,357.46
  4. Step 4: Simplify right side
    35,731x = 662,620,227.68
  5. Step 5: Solve for x
    x = 662,620,227.68/35,731
  6. Step 6: Final answer
    x = 18,544.69

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Why These Related Problems?

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