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Finding the Fourth Proportional to 30,521.52, 45,794.34 and 9,463.23

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Solution

The fourth proportional to 30,521.52, 45,794.34 and 9,463.23 is: 14,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.52 : 45,794.34 = 9,463.23 : x
  2. Step 2: Convert to fraction form
    30,521.52/45,794.34 = 9,463.23/x
  3. Step 3: Cross multiply
    30,521.52x = 45,794.34 × 9,463.23
  4. Step 4: Simplify right side
    30,521.52x = 433,362,095.83
  5. Step 5: Solve for x
    x = 433,362,095.83/30,521.52
  6. Step 6: Final answer
    x = 14,198.58

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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.