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Finding the Fourth Proportional to 30,065.24, 45,084.83 and 14,274.83

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Solution

The fourth proportional to 30,065.24, 45,084.83 and 14,274.83 is: 21,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.24 : 45,084.83 = 14,274.83 : x
  2. Step 2: Convert to fraction form
    30,065.24/45,084.83 = 14,274.83/x
  3. Step 3: Cross multiply
    30,065.24x = 45,084.83 × 14,274.83
  4. Step 4: Simplify right side
    30,065.24x = 643,577,987.03
  5. Step 5: Solve for x
    x = 643,577,987.03/30,065.24
  6. Step 6: Final answer
    x = 21,406.05

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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.