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Finding the Fourth Proportional to 65,432.40, 97,954.20 and 43,270.80

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Solution

The fourth proportional to 65,432.40, 97,954.20 and 43,270.80 is: 64,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432.40 : 97,954.20 = 43,270.80 : x
  2. Step 2: Convert to fraction form
    65,432.40/97,954.20 = 43,270.80/x
  3. Step 3: Cross multiply
    65,432.40x = 97,954.20 × 43,270.80
  4. Step 4: Simplify right side
    65,432.40x = 4,238,556,597.36
  5. Step 5: Solve for x
    x = 4,238,556,597.36/65,432.40
  6. Step 6: Final answer
    x = 64,777.64

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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.