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Finding the Fourth Proportional to 76,481.77, 114,795.65 and 46,957.27

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Solution

The fourth proportional to 76,481.77, 114,795.65 and 46,957.27 is: 70,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481.77 : 114,795.65 = 46,957.27 : x
  2. Step 2: Convert to fraction form
    76,481.77/114,795.65 = 46,957.27/x
  3. Step 3: Cross multiply
    76,481.77x = 114,795.65 × 46,957.27
  4. Step 4: Simplify right side
    76,481.77x = 5,390,490,331.88
  5. Step 5: Solve for x
    x = 5,390,490,331.88/76,481.77
  6. Step 6: Final answer
    x = 70,480.72

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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.