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Finding the Fourth Proportional to 76,833.36, 115,186.68 and 24,210

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Solution

The fourth proportional to 76,833.36, 115,186.68 and 24,210 is: 36,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,833.36 : 115,186.68 = 24,210 : x
  2. Step 2: Convert to fraction form
    76,833.36/115,186.68 = 24,210/x
  3. Step 3: Cross multiply
    76,833.36x = 115,186.68 × 24,210
  4. Step 4: Simplify right side
    76,833.36x = 2,788,669,522.80
  5. Step 5: Solve for x
    x = 2,788,669,522.80/76,833.36
  6. Step 6: Final answer
    x = 36,295.04

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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.