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Finding the Fourth Proportional to 30,662.42, 45,955.16 and 13,111.61

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Solution

The fourth proportional to 30,662.42, 45,955.16 and 13,111.61 is: 19,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.42 : 45,955.16 = 13,111.61 : x
  2. Step 2: Convert to fraction form
    30,662.42/45,955.16 = 13,111.61/x
  3. Step 3: Cross multiply
    30,662.42x = 45,955.16 × 13,111.61
  4. Step 4: Simplify right side
    30,662.42x = 602,546,069.85
  5. Step 5: Solve for x
    x = 602,546,069.85/30,662.42
  6. Step 6: Final answer
    x = 19,650.96

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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.