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Finding the Fourth Proportional to 76,394.64, 114,467.41 and 46,750.20

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Solution

The fourth proportional to 76,394.64, 114,467.41 and 46,750.20 is: 70,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.64 : 114,467.41 = 46,750.20 : x
  2. Step 2: Convert to fraction form
    76,394.64/114,467.41 = 46,750.20/x
  3. Step 3: Cross multiply
    76,394.64x = 114,467.41 × 46,750.20
  4. Step 4: Simplify right side
    76,394.64x = 5,351,374,324.46
  5. Step 5: Solve for x
    x = 5,351,374,324.46/76,394.64
  6. Step 6: Final answer
    x = 70,049.08

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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.