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Finding the Fourth Proportional to 51,980.54, 77,594.81 and 45,674.84

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Solution

The fourth proportional to 51,980.54, 77,594.81 and 45,674.84 is: 68,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.54 : 77,594.81 = 45,674.84 : x
  2. Step 2: Convert to fraction form
    51,980.54/77,594.81 = 45,674.84/x
  3. Step 3: Cross multiply
    51,980.54x = 77,594.81 × 45,674.84
  4. Step 4: Simplify right side
    51,980.54x = 3,544,130,317.64
  5. Step 5: Solve for x
    x = 3,544,130,317.64/51,980.54
  6. Step 6: Final answer
    x = 68,181.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.