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Finding the Fourth Proportional to 57,782.12, 79,736.81 and 36,283.01

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Solution

The fourth proportional to 57,782.12, 79,736.81 and 36,283.01 is: 50,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.12 : 79,736.81 = 36,283.01 : x
  2. Step 2: Convert to fraction form
    57,782.12/79,736.81 = 36,283.01/x
  3. Step 3: Cross multiply
    57,782.12x = 79,736.81 × 36,283.01
  4. Step 4: Simplify right side
    57,782.12x = 2,893,090,894.50
  5. Step 5: Solve for x
    x = 2,893,090,894.50/57,782.12
  6. Step 6: Final answer
    x = 50,068.97

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Why These Related Problems?

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