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Finding the Fourth Proportional to 30,957.16, 46,421.34 and 11,234.92

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Solution

The fourth proportional to 30,957.16, 46,421.34 and 11,234.92 is: 16,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.16 : 46,421.34 = 11,234.92 : x
  2. Step 2: Convert to fraction form
    30,957.16/46,421.34 = 11,234.92/x
  3. Step 3: Cross multiply
    30,957.16x = 46,421.34 × 11,234.92
  4. Step 4: Simplify right side
    30,957.16x = 521,540,041.19
  5. Step 5: Solve for x
    x = 521,540,041.19/30,957.16
  6. Step 6: Final answer
    x = 16,847.15

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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.