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Finding the Fourth Proportional to 45,383.32, 68,075.01 and 14,221

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Solution

The fourth proportional to 45,383.32, 68,075.01 and 14,221 is: 21,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,383.32 : 68,075.01 = 14,221 : x
  2. Step 2: Convert to fraction form
    45,383.32/68,075.01 = 14,221/x
  3. Step 3: Cross multiply
    45,383.32x = 68,075.01 × 14,221
  4. Step 4: Simplify right side
    45,383.32x = 968,094,717.21
  5. Step 5: Solve for x
    x = 968,094,717.21/45,383.32
  6. Step 6: Final answer
    x = 21,331.51

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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.