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Finding the Fourth Proportional to 97,765.56, 146,648.28 and 35,436

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Solution

The fourth proportional to 97,765.56, 146,648.28 and 35,436 is: 53,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.56 : 146,648.28 = 35,436 : x
  2. Step 2: Convert to fraction form
    97,765.56/146,648.28 = 35,436/x
  3. Step 3: Cross multiply
    97,765.56x = 146,648.28 × 35,436
  4. Step 4: Simplify right side
    97,765.56x = 5,196,628,450.08
  5. Step 5: Solve for x
    x = 5,196,628,450.08/97,765.56
  6. Step 6: Final answer
    x = 53,153.98

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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.