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Finding the Fourth Proportional to 97,652.40, 146,412.84 and 35,314.80

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Solution

The fourth proportional to 97,652.40, 146,412.84 and 35,314.80 is: 52,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,652.40 : 146,412.84 = 35,314.80 : x
  2. Step 2: Convert to fraction form
    97,652.40/146,412.84 = 35,314.80/x
  3. Step 3: Cross multiply
    97,652.40x = 146,412.84 × 35,314.80
  4. Step 4: Simplify right side
    97,652.40x = 5,170,540,162.03
  5. Step 5: Solve for x
    x = 5,170,540,162.03/97,652.40
  6. Step 6: Final answer
    x = 52,948.42

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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.