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Finding the Fourth Proportional to 76,102.80, 114,173.64 and 29,343.12

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Solution

The fourth proportional to 76,102.80, 114,173.64 and 29,343.12 is: 44,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.80 : 114,173.64 = 29,343.12 : x
  2. Step 2: Convert to fraction form
    76,102.80/114,173.64 = 29,343.12/x
  3. Step 3: Cross multiply
    76,102.80x = 114,173.64 × 29,343.12
  4. Step 4: Simplify right side
    76,102.80x = 3,350,210,819.36
  5. Step 5: Solve for x
    x = 3,350,210,819.36/76,102.80
  6. Step 6: Final answer
    x = 44,022.18

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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.