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Finding the Fourth Proportional to 53,154.84, 73,351 and 29,281

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Solution

The fourth proportional to 53,154.84, 73,351 and 29,281 is: 40,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,154.84 : 73,351 = 29,281 : x
  2. Step 2: Convert to fraction form
    53,154.84/73,351 = 29,281/x
  3. Step 3: Cross multiply
    53,154.84x = 73,351 × 29,281
  4. Step 4: Simplify right side
    53,154.84x = 2,147,790,631
  5. Step 5: Solve for x
    x = 2,147,790,631/53,154.84
  6. Step 6: Final answer
    x = 40,406.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.