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Finding the Fourth Proportional to 83,070.50, 114,597.37 and 54,377.51

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Solution

The fourth proportional to 83,070.50, 114,597.37 and 54,377.51 is: 75,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070.50 : 114,597.37 = 54,377.51 : x
  2. Step 2: Convert to fraction form
    83,070.50/114,597.37 = 54,377.51/x
  3. Step 3: Cross multiply
    83,070.50x = 114,597.37 × 54,377.51
  4. Step 4: Simplify right side
    83,070.50x = 6,231,519,633.15
  5. Step 5: Solve for x
    x = 6,231,519,633.15/83,070.50
  6. Step 6: Final answer
    x = 75,014.83

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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.