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Finding the Fourth Proportional to 30,924.50, 46,325.31 and 15,294.42

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Solution

The fourth proportional to 30,924.50, 46,325.31 and 15,294.42 is: 22,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.50 : 46,325.31 = 15,294.42 : x
  2. Step 2: Convert to fraction form
    30,924.50/46,325.31 = 15,294.42/x
  3. Step 3: Cross multiply
    30,924.50x = 46,325.31 × 15,294.42
  4. Step 4: Simplify right side
    30,924.50x = 708,518,747.77
  5. Step 5: Solve for x
    x = 708,518,747.77/30,924.50
  6. Step 6: Final answer
    x = 22,911.24

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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.