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Finding the Fourth Proportional to 76,484.70, 114,727.14 and 23,894.46

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Solution

The fourth proportional to 76,484.70, 114,727.14 and 23,894.46 is: 35,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484.70 : 114,727.14 = 23,894.46 : x
  2. Step 2: Convert to fraction form
    76,484.70/114,727.14 = 23,894.46/x
  3. Step 3: Cross multiply
    76,484.70x = 114,727.14 × 23,894.46
  4. Step 4: Simplify right side
    76,484.70x = 2,741,343,057.64
  5. Step 5: Solve for x
    x = 2,741,343,057.64/76,484.70
  6. Step 6: Final answer
    x = 35,841.72

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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.