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Finding the Fourth Proportional to 65,023.84, 89,731.80 and 36,344.20

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Solution

The fourth proportional to 65,023.84, 89,731.80 and 36,344.20 is: 50,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.84 : 89,731.80 = 36,344.20 : x
  2. Step 2: Convert to fraction form
    65,023.84/89,731.80 = 36,344.20/x
  3. Step 3: Cross multiply
    65,023.84x = 89,731.80 × 36,344.20
  4. Step 4: Simplify right side
    65,023.84x = 3,261,230,485.56
  5. Step 5: Solve for x
    x = 3,261,230,485.56/65,023.84
  6. Step 6: Final answer
    x = 50,154.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.