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Finding the Fourth Proportional to 30,967.44, 46,452.96 and 11,248.08

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Solution

The fourth proportional to 30,967.44, 46,452.96 and 11,248.08 is: 16,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.44 : 46,452.96 = 11,248.08 : x
  2. Step 2: Convert to fraction form
    30,967.44/46,452.96 = 11,248.08/x
  3. Step 3: Cross multiply
    30,967.44x = 46,452.96 × 11,248.08
  4. Step 4: Simplify right side
    30,967.44x = 522,506,610.32
  5. Step 5: Solve for x
    x = 522,506,610.32/30,967.44
  6. Step 6: Final answer
    x = 16,872.77

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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.