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Finding the Fourth Proportional to 30,471.30, 45,701.34 and 13,827.33

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Solution

The fourth proportional to 30,471.30, 45,701.34 and 13,827.33 is: 20,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.30 : 45,701.34 = 13,827.33 : x
  2. Step 2: Convert to fraction form
    30,471.30/45,701.34 = 13,827.33/x
  3. Step 3: Cross multiply
    30,471.30x = 45,701.34 × 13,827.33
  4. Step 4: Simplify right side
    30,471.30x = 631,927,509.62
  5. Step 5: Solve for x
    x = 631,927,509.62/30,471.30
  6. Step 6: Final answer
    x = 20,738.45

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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.