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Finding the Fourth Proportional to 30,798.45, 46,204.59 and 11,077

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Solution

The fourth proportional to 30,798.45, 46,204.59 and 11,077 is: 16,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.45 : 46,204.59 = 11,077 : x
  2. Step 2: Convert to fraction form
    30,798.45/46,204.59 = 11,077/x
  3. Step 3: Cross multiply
    30,798.45x = 46,204.59 × 11,077
  4. Step 4: Simplify right side
    30,798.45x = 511,808,243.43
  5. Step 5: Solve for x
    x = 511,808,243.43/30,798.45
  6. Step 6: Final answer
    x = 16,617.99

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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.