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Finding the Fourth Proportional to 97,570.80, 146,267.46 and 35,226.72

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Solution

The fourth proportional to 97,570.80, 146,267.46 and 35,226.72 is: 52,808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,570.80 : 146,267.46 = 35,226.72 : x
  2. Step 2: Convert to fraction form
    97,570.80/146,267.46 = 35,226.72/x
  3. Step 3: Cross multiply
    97,570.80x = 146,267.46 × 35,226.72
  4. Step 4: Simplify right side
    97,570.80x = 5,152,522,858.53
  5. Step 5: Solve for x
    x = 5,152,522,858.53/97,570.80
  6. Step 6: Final answer
    x = 52,808.04

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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.