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Finding the Fourth Proportional to 60,298.88, 90,431.04 and 20,313.50

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Solution

The fourth proportional to 60,298.88, 90,431.04 and 20,313.50 is: 30,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,298.88 : 90,431.04 = 20,313.50 : x
  2. Step 2: Convert to fraction form
    60,298.88/90,431.04 = 20,313.50/x
  3. Step 3: Cross multiply
    60,298.88x = 90,431.04 × 20,313.50
  4. Step 4: Simplify right side
    60,298.88x = 1,836,970,931.04
  5. Step 5: Solve for x
    x = 1,836,970,931.04/60,298.88
  6. Step 6: Final answer
    x = 30,464.43

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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.