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Finding the Fourth Proportional to 57,782.94, 86,555.02 and 34,017.26

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Solution

The fourth proportional to 57,782.94, 86,555.02 and 34,017.26 is: 50,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.94 : 86,555.02 = 34,017.26 : x
  2. Step 2: Convert to fraction form
    57,782.94/86,555.02 = 34,017.26/x
  3. Step 3: Cross multiply
    57,782.94x = 86,555.02 × 34,017.26
  4. Step 4: Simplify right side
    57,782.94x = 2,944,364,619.65
  5. Step 5: Solve for x
    x = 2,944,364,619.65/57,782.94
  6. Step 6: Final answer
    x = 50,955.60

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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.