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Finding the Fourth Proportional to 55,083, 82,994.82 and 49,823.94

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Solution

The fourth proportional to 55,083, 82,994.82 and 49,823.94 is: 75,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083 : 82,994.82 = 49,823.94 : x
  2. Step 2: Convert to fraction form
    55,083/82,994.82 = 49,823.94/x
  3. Step 3: Cross multiply
    55,083x = 82,994.82 × 49,823.94
  4. Step 4: Simplify right side
    55,083x = 4,135,128,931.99
  5. Step 5: Solve for x
    x = 4,135,128,931.99/55,083
  6. Step 6: Final answer
    x = 75,070.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.