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Finding the Fourth Proportional to 30,977.10, 46,468.74 and 9,911.83

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Solution

The fourth proportional to 30,977.10, 46,468.74 and 9,911.83 is: 14,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.10 : 46,468.74 = 9,911.83 : x
  2. Step 2: Convert to fraction form
    30,977.10/46,468.74 = 9,911.83/x
  3. Step 3: Cross multiply
    30,977.10x = 46,468.74 × 9,911.83
  4. Step 4: Simplify right side
    30,977.10x = 460,590,251.19
  5. Step 5: Solve for x
    x = 460,590,251.19/30,977.10
  6. Step 6: Final answer
    x = 14,868.73

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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.