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Finding the Fourth Proportional to 45,873.84, 68,820.64 and 14,283.24

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Solution

The fourth proportional to 45,873.84, 68,820.64 and 14,283.24 is: 21,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,873.84 : 68,820.64 = 14,283.24 : x
  2. Step 2: Convert to fraction form
    45,873.84/68,820.64 = 14,283.24/x
  3. Step 3: Cross multiply
    45,873.84x = 68,820.64 × 14,283.24
  4. Step 4: Simplify right side
    45,873.84x = 982,981,424.29
  5. Step 5: Solve for x
    x = 982,981,424.29/45,873.84
  6. Step 6: Final answer
    x = 21,427.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.