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Finding the Fourth Proportional to 76,033, 114,064.68 and 23,440.24

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Solution

The fourth proportional to 76,033, 114,064.68 and 23,440.24 is: 35,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,033 : 114,064.68 = 23,440.24 : x
  2. Step 2: Convert to fraction form
    76,033/114,064.68 = 23,440.24/x
  3. Step 3: Cross multiply
    76,033x = 114,064.68 × 23,440.24
  4. Step 4: Simplify right side
    76,033x = 2,673,703,474.72
  5. Step 5: Solve for x
    x = 2,673,703,474.72/76,033
  6. Step 6: Final answer
    x = 35,165.04

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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.