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Finding the Fourth Proportional to 31,041.60, 46,561.84 and 11,319.96

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Solution

The fourth proportional to 31,041.60, 46,561.84 and 11,319.96 is: 16,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.60 : 46,561.84 = 11,319.96 : x
  2. Step 2: Convert to fraction form
    31,041.60/46,561.84 = 11,319.96/x
  3. Step 3: Cross multiply
    31,041.60x = 46,561.84 × 11,319.96
  4. Step 4: Simplify right side
    31,041.60x = 527,078,166.33
  5. Step 5: Solve for x
    x = 527,078,166.33/31,041.60
  6. Step 6: Final answer
    x = 16,979.74

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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.