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Finding the Fourth Proportional to 30,656.50, 45,943.17 and 13,995.88

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Solution

The fourth proportional to 30,656.50, 45,943.17 and 13,995.88 is: 20,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.50 : 45,943.17 = 13,995.88 : x
  2. Step 2: Convert to fraction form
    30,656.50/45,943.17 = 13,995.88/x
  3. Step 3: Cross multiply
    30,656.50x = 45,943.17 × 13,995.88
  4. Step 4: Simplify right side
    30,656.50x = 643,015,094.14
  5. Step 5: Solve for x
    x = 643,015,094.14/30,656.50
  6. Step 6: Final answer
    x = 20,974.84

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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.