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Finding the Fourth Proportional to 97,446.88, 146,153.76 and 27,310

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Solution

The fourth proportional to 97,446.88, 146,153.76 and 27,310 is: 40,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,446.88 : 146,153.76 = 27,310 : x
  2. Step 2: Convert to fraction form
    97,446.88/146,153.76 = 27,310/x
  3. Step 3: Cross multiply
    97,446.88x = 146,153.76 × 27,310
  4. Step 4: Simplify right side
    97,446.88x = 3,991,459,185.60
  5. Step 5: Solve for x
    x = 3,991,459,185.60/97,446.88
  6. Step 6: Final answer
    x = 40,960.36

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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.