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Finding the Fourth Proportional to 30,953.34, 46,450.08 and 11,230.20

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Solution

The fourth proportional to 30,953.34, 46,450.08 and 11,230.20 is: 16,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.34 : 46,450.08 = 11,230.20 : x
  2. Step 2: Convert to fraction form
    30,953.34/46,450.08 = 11,230.20/x
  3. Step 3: Cross multiply
    30,953.34x = 46,450.08 × 11,230.20
  4. Step 4: Simplify right side
    30,953.34x = 521,643,688.42
  5. Step 5: Solve for x
    x = 521,643,688.42/30,953.34
  6. Step 6: Final answer
    x = 16,852.58

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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.