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Finding the Fourth Proportional to 57,746.63, 86,620.14 and 16,193.63

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Solution

The fourth proportional to 57,746.63, 86,620.14 and 16,193.63 is: 24,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746.63 : 86,620.14 = 16,193.63 : x
  2. Step 2: Convert to fraction form
    57,746.63/86,620.14 = 16,193.63/x
  3. Step 3: Cross multiply
    57,746.63x = 86,620.14 × 16,193.63
  4. Step 4: Simplify right side
    57,746.63x = 1,402,694,064.61
  5. Step 5: Solve for x
    x = 1,402,694,064.61/57,746.63
  6. Step 6: Final answer
    x = 24,290.49

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