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Finding the Fourth Proportional to 76,816.53, 115,224.80 and 24,230.12

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Solution

The fourth proportional to 76,816.53, 115,224.80 and 24,230.12 is: 36,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,816.53 : 115,224.80 = 24,230.12 : x
  2. Step 2: Convert to fraction form
    76,816.53/115,224.80 = 24,230.12/x
  3. Step 3: Cross multiply
    76,816.53x = 115,224.80 × 24,230.12
  4. Step 4: Simplify right side
    76,816.53x = 2,791,910,730.98
  5. Step 5: Solve for x
    x = 2,791,910,730.98/76,816.53
  6. Step 6: Final answer
    x = 36,345.18

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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.