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Finding the Fourth Proportional to 97,550.81, 146,310.95 and 30,982.17

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Solution

The fourth proportional to 97,550.81, 146,310.95 and 30,982.17 is: 46,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,550.81 : 146,310.95 = 30,982.17 : x
  2. Step 2: Convert to fraction form
    97,550.81/146,310.95 = 30,982.17/x
  3. Step 3: Cross multiply
    97,550.81x = 146,310.95 × 30,982.17
  4. Step 4: Simplify right side
    97,550.81x = 4,533,030,570.85
  5. Step 5: Solve for x
    x = 4,533,030,570.85/97,550.81
  6. Step 6: Final answer
    x = 46,468.41

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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.