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Finding the Fourth Proportional to 76,076.76, 114,070.77 and 31,650.27

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Solution

The fourth proportional to 76,076.76, 114,070.77 and 31,650.27 is: 47,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076.76 : 114,070.77 = 31,650.27 : x
  2. Step 2: Convert to fraction form
    76,076.76/114,070.77 = 31,650.27/x
  3. Step 3: Cross multiply
    76,076.76x = 114,070.77 × 31,650.27
  4. Step 4: Simplify right side
    76,076.76x = 3,610,370,669.61
  5. Step 5: Solve for x
    x = 3,610,370,669.61/76,076.76
  6. Step 6: Final answer
    x = 47,456.95

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1.5x scale

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.