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Finding the Fourth Proportional to 30,063.12, 45,043.74 and 21,255

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Solution

The fourth proportional to 30,063.12, 45,043.74 and 21,255 is: 31,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,063.12 : 45,043.74 = 21,255 : x
  2. Step 2: Convert to fraction form
    30,063.12/45,043.74 = 21,255/x
  3. Step 3: Cross multiply
    30,063.12x = 45,043.74 × 21,255
  4. Step 4: Simplify right side
    30,063.12x = 957,404,693.70
  5. Step 5: Solve for x
    x = 957,404,693.70/30,063.12
  6. Step 6: Final answer
    x = 31,846.48

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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.