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Finding the Fourth Proportional to 97,648.80, 146,530.80 and 35,311.20

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Solution

The fourth proportional to 97,648.80, 146,530.80 and 35,311.20 is: 52,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.80 : 146,530.80 = 35,311.20 : x
  2. Step 2: Convert to fraction form
    97,648.80/146,530.80 = 35,311.20/x
  3. Step 3: Cross multiply
    97,648.80x = 146,530.80 × 35,311.20
  4. Step 4: Simplify right side
    97,648.80x = 5,174,178,384.96
  5. Step 5: Solve for x
    x = 5,174,178,384.96/97,648.80
  6. Step 6: Final answer
    x = 52,987.63

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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.