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Finding the Fourth Proportional to 76,224.84, 114,318.86 and 22,905.64

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Solution

The fourth proportional to 76,224.84, 114,318.86 and 22,905.64 is: 34,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,224.84 : 114,318.86 = 22,905.64 : x
  2. Step 2: Convert to fraction form
    76,224.84/114,318.86 = 22,905.64/x
  3. Step 3: Cross multiply
    76,224.84x = 114,318.86 × 22,905.64
  4. Step 4: Simplify right side
    76,224.84x = 2,618,546,652.37
  5. Step 5: Solve for x
    x = 2,618,546,652.37/76,224.84
  6. Step 6: Final answer
    x = 34,352.93

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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.