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Finding the Fourth Proportional to 30,477.63, 45,722.13 and 13,838.82

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Solution

The fourth proportional to 30,477.63, 45,722.13 and 13,838.82 is: 20,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.63 : 45,722.13 = 13,838.82 : x
  2. Step 2: Convert to fraction form
    30,477.63/45,722.13 = 13,838.82/x
  3. Step 3: Cross multiply
    30,477.63x = 45,722.13 × 13,838.82
  4. Step 4: Simplify right side
    30,477.63x = 632,740,327.09
  5. Step 5: Solve for x
    x = 632,740,327.09/30,477.63
  6. Step 6: Final answer
    x = 20,760.81

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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.