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Finding the Fourth Proportional to 76,056.49, 114,099.99 and 23,464

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Solution

The fourth proportional to 76,056.49, 114,099.99 and 23,464 is: 35,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,056.49 : 114,099.99 = 23,464 : x
  2. Step 2: Convert to fraction form
    76,056.49/114,099.99 = 23,464/x
  3. Step 3: Cross multiply
    76,056.49x = 114,099.99 × 23,464
  4. Step 4: Simplify right side
    76,056.49x = 2,677,242,165.36
  5. Step 5: Solve for x
    x = 2,677,242,165.36/76,056.49
  6. Step 6: Final answer
    x = 35,200.71

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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.