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Finding the Fourth Proportional to 47,006.46, 70,516.28 and 13,728.99

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Solution

The fourth proportional to 47,006.46, 70,516.28 and 13,728.99 is: 20,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006.46 : 70,516.28 = 13,728.99 : x
  2. Step 2: Convert to fraction form
    47,006.46/70,516.28 = 13,728.99/x
  3. Step 3: Cross multiply
    47,006.46x = 70,516.28 × 13,728.99
  4. Step 4: Simplify right side
    47,006.46x = 968,117,302.96
  5. Step 5: Solve for x
    x = 968,117,302.96/47,006.46
  6. Step 6: Final answer
    x = 20,595.41

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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.