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Finding the Fourth Proportional to 30,935.32, 42,690.77 and 16,788.16

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Solution

The fourth proportional to 30,935.32, 42,690.77 and 16,788.16 is: 23,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.32 : 42,690.77 = 16,788.16 : x
  2. Step 2: Convert to fraction form
    30,935.32/42,690.77 = 16,788.16/x
  3. Step 3: Cross multiply
    30,935.32x = 42,690.77 × 16,788.16
  4. Step 4: Simplify right side
    30,935.32x = 716,699,556.88
  5. Step 5: Solve for x
    x = 716,699,556.88/30,935.32
  6. Step 6: Final answer
    x = 23,167.68

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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.