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Finding the Fourth Proportional to 57,714.57, 79,643.34 and 33,511.77

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Solution

The fourth proportional to 57,714.57, 79,643.34 and 33,511.77 is: 46,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.57 : 79,643.34 = 33,511.77 : x
  2. Step 2: Convert to fraction form
    57,714.57/79,643.34 = 33,511.77/x
  3. Step 3: Cross multiply
    57,714.57x = 79,643.34 × 33,511.77
  4. Step 4: Simplify right side
    57,714.57x = 2,668,989,292.11
  5. Step 5: Solve for x
    x = 2,668,989,292.11/57,714.57
  6. Step 6: Final answer
    x = 46,244.64

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