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Finding the Fourth Proportional to 98,313.50, 147,470.26 and 24,441.50

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Solution

The fourth proportional to 98,313.50, 147,470.26 and 24,441.50 is: 36,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,313.50 : 147,470.26 = 24,441.50 : x
  2. Step 2: Convert to fraction form
    98,313.50/147,470.26 = 24,441.50/x
  3. Step 3: Cross multiply
    98,313.50x = 147,470.26 × 24,441.50
  4. Step 4: Simplify right side
    98,313.50x = 3,604,394,359.79
  5. Step 5: Solve for x
    x = 3,604,394,359.79/98,313.50
  6. Step 6: Final answer
    x = 36,662.25

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1.5x scale

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.