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Finding the Fourth Proportional to 64,821.40, 97,232.10 and 35,330.20

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Solution

The fourth proportional to 64,821.40, 97,232.10 and 35,330.20 is: 52,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821.40 : 97,232.10 = 35,330.20 : x
  2. Step 2: Convert to fraction form
    64,821.40/97,232.10 = 35,330.20/x
  3. Step 3: Cross multiply
    64,821.40x = 97,232.10 × 35,330.20
  4. Step 4: Simplify right side
    64,821.40x = 3,435,229,539.42
  5. Step 5: Solve for x
    x = 3,435,229,539.42/64,821.40
  6. Step 6: Final answer
    x = 52,995.30

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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.