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Finding the Fourth Proportional to 35,342.87, 53,020.80 and 11,651.81

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Solution

The fourth proportional to 35,342.87, 53,020.80 and 11,651.81 is: 17,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,342.87 : 53,020.80 = 11,651.81 : x
  2. Step 2: Convert to fraction form
    35,342.87/53,020.80 = 11,651.81/x
  3. Step 3: Cross multiply
    35,342.87x = 53,020.80 × 11,651.81
  4. Step 4: Simplify right side
    35,342.87x = 617,788,287.65
  5. Step 5: Solve for x
    x = 617,788,287.65/35,342.87
  6. Step 6: Final answer
    x = 17,479.86

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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.