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Finding the Fourth Proportional to 72,781.83, 100,438.74 and 40,950.77

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Solution

The fourth proportional to 72,781.83, 100,438.74 and 40,950.77 is: 56,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,781.83 : 100,438.74 = 40,950.77 : x
  2. Step 2: Convert to fraction form
    72,781.83/100,438.74 = 40,950.77/x
  3. Step 3: Cross multiply
    72,781.83x = 100,438.74 × 40,950.77
  4. Step 4: Simplify right side
    72,781.83x = 4,113,043,238.64
  5. Step 5: Solve for x
    x = 4,113,043,238.64/72,781.83
  6. Step 6: Final answer
    x = 56,511.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.