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Finding the Fourth Proportional to 47,008.34, 70,519.11 and 13,730.84

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Solution

The fourth proportional to 47,008.34, 70,519.11 and 13,730.84 is: 20,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008.34 : 70,519.11 = 13,730.84 : x
  2. Step 2: Convert to fraction form
    47,008.34/70,519.11 = 13,730.84/x
  3. Step 3: Cross multiply
    47,008.34x = 70,519.11 × 13,730.84
  4. Step 4: Simplify right side
    47,008.34x = 968,286,616.35
  5. Step 5: Solve for x
    x = 968,286,616.35/47,008.34
  6. Step 6: Final answer
    x = 20,598.19

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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.