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Finding the Fourth Proportional to 97,311.80, 145,967.67 and 23,439.80

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Solution

The fourth proportional to 97,311.80, 145,967.67 and 23,439.80 is: 35,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,311.80 : 145,967.67 = 23,439.80 : x
  2. Step 2: Convert to fraction form
    97,311.80/145,967.67 = 23,439.80/x
  3. Step 3: Cross multiply
    97,311.80x = 145,967.67 × 23,439.80
  4. Step 4: Simplify right side
    97,311.80x = 3,421,452,991.27
  5. Step 5: Solve for x
    x = 3,421,452,991.27/97,311.80
  6. Step 6: Final answer
    x = 35,159.69

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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.