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Finding the Fourth Proportional to 30,787.86, 46,181.83 and 9,730.06

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Solution

The fourth proportional to 30,787.86, 46,181.83 and 9,730.06 is: 14,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.86 : 46,181.83 = 9,730.06 : x
  2. Step 2: Convert to fraction form
    30,787.86/46,181.83 = 9,730.06/x
  3. Step 3: Cross multiply
    30,787.86x = 46,181.83 × 9,730.06
  4. Step 4: Simplify right side
    30,787.86x = 449,351,855.27
  5. Step 5: Solve for x
    x = 449,351,855.27/30,787.86
  6. Step 6: Final answer
    x = 14,595.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.