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Finding the Fourth Proportional to 76,497.45, 114,746.27 and 23,907.21

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Solution

The fourth proportional to 76,497.45, 114,746.27 and 23,907.21 is: 35,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.45 : 114,746.27 = 23,907.21 : x
  2. Step 2: Convert to fraction form
    76,497.45/114,746.27 = 23,907.21/x
  3. Step 3: Cross multiply
    76,497.45x = 114,746.27 × 23,907.21
  4. Step 4: Simplify right side
    76,497.45x = 2,743,263,054.07
  5. Step 5: Solve for x
    x = 2,743,263,054.07/76,497.45
  6. Step 6: Final answer
    x = 35,860.84

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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.