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Finding the Fourth Proportional to 97,409.60, 146,114.40 and 35,057.60

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Solution

The fourth proportional to 97,409.60, 146,114.40 and 35,057.60 is: 52,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.60 : 146,114.40 = 35,057.60 : x
  2. Step 2: Convert to fraction form
    97,409.60/146,114.40 = 35,057.60/x
  3. Step 3: Cross multiply
    97,409.60x = 146,114.40 × 35,057.60
  4. Step 4: Simplify right side
    97,409.60x = 5,122,420,189.44
  5. Step 5: Solve for x
    x = 5,122,420,189.44/97,409.60
  6. Step 6: Final answer
    x = 52,586.40

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1.5x scale

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.