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Finding the Fourth Proportional to 97,847.80, 146,829.30 and 35,510.20

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Solution

The fourth proportional to 97,847.80, 146,829.30 and 35,510.20 is: 53,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,847.80 : 146,829.30 = 35,510.20 : x
  2. Step 2: Convert to fraction form
    97,847.80/146,829.30 = 35,510.20/x
  3. Step 3: Cross multiply
    97,847.80x = 146,829.30 × 35,510.20
  4. Step 4: Simplify right side
    97,847.80x = 5,213,937,808.86
  5. Step 5: Solve for x
    x = 5,213,937,808.86/97,847.80
  6. Step 6: Final answer
    x = 53,286.20

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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.