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Finding the Fourth Proportional to 97,485.78, 146,228.68 and 35,156.28

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Solution

The fourth proportional to 97,485.78, 146,228.68 and 35,156.28 is: 52,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,485.78 : 146,228.68 = 35,156.28 : x
  2. Step 2: Convert to fraction form
    97,485.78/146,228.68 = 35,156.28/x
  3. Step 3: Cross multiply
    97,485.78x = 146,228.68 × 35,156.28
  4. Step 4: Simplify right side
    97,485.78x = 5,140,856,418.11
  5. Step 5: Solve for x
    x = 5,140,856,418.11/97,485.78
  6. Step 6: Final answer
    x = 52,734.42

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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.