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Finding the Fourth Proportional to 97,489.50, 146,235.06 and 23,617.50

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Solution

The fourth proportional to 97,489.50, 146,235.06 and 23,617.50 is: 35,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,489.50 : 146,235.06 = 23,617.50 : x
  2. Step 2: Convert to fraction form
    97,489.50/146,235.06 = 23,617.50/x
  3. Step 3: Cross multiply
    97,489.50x = 146,235.06 × 23,617.50
  4. Step 4: Simplify right side
    97,489.50x = 3,453,706,529.55
  5. Step 5: Solve for x
    x = 3,453,706,529.55/97,489.50
  6. Step 6: Final answer
    x = 35,426.45

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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.