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Finding the Fourth Proportional to 114,487.84, 171,732.24 and 40,564

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Solution

The fourth proportional to 114,487.84, 171,732.24 and 40,564 is: 60,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,487.84 : 171,732.24 = 40,564 : x
  2. Step 2: Convert to fraction form
    114,487.84/171,732.24 = 40,564/x
  3. Step 3: Cross multiply
    114,487.84x = 171,732.24 × 40,564
  4. Step 4: Simplify right side
    114,487.84x = 6,966,146,583.36
  5. Step 5: Solve for x
    x = 6,966,146,583.36/114,487.84
  6. Step 6: Final answer
    x = 60,846.17

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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.