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Finding the Fourth Proportional to 30,065.54, 45,074.30 and 14,262.63

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Solution

The fourth proportional to 30,065.54, 45,074.30 and 14,262.63 is: 21,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.54 : 45,074.30 = 14,262.63 : x
  2. Step 2: Convert to fraction form
    30,065.54/45,074.30 = 14,262.63/x
  3. Step 3: Cross multiply
    30,065.54x = 45,074.30 × 14,262.63
  4. Step 4: Simplify right side
    30,065.54x = 642,877,992.10
  5. Step 5: Solve for x
    x = 642,877,992.10/30,065.54
  6. Step 6: Final answer
    x = 21,382.56

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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.