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Finding the Fourth Proportional to 54,564.67, 81,846.64 and 14,038.12

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Solution

The fourth proportional to 54,564.67, 81,846.64 and 14,038.12 is: 21,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,564.67 : 81,846.64 = 14,038.12 : x
  2. Step 2: Convert to fraction form
    54,564.67/81,846.64 = 14,038.12/x
  3. Step 3: Cross multiply
    54,564.67x = 81,846.64 × 14,038.12
  4. Step 4: Simplify right side
    54,564.67x = 1,148,972,953.92
  5. Step 5: Solve for x
    x = 1,148,972,953.92/54,564.67
  6. Step 6: Final answer
    x = 21,057.09

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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.