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Finding the Fourth Proportional to 76,223.09, 105,185.98 and 44,398.19

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Solution

The fourth proportional to 76,223.09, 105,185.98 and 44,398.19 is: 61,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,223.09 : 105,185.98 = 44,398.19 : x
  2. Step 2: Convert to fraction form
    76,223.09/105,185.98 = 44,398.19/x
  3. Step 3: Cross multiply
    76,223.09x = 105,185.98 × 44,398.19
  4. Step 4: Simplify right side
    76,223.09x = 4,670,067,125.38
  5. Step 5: Solve for x
    x = 4,670,067,125.38/76,223.09
  6. Step 6: Final answer
    x = 61,268.40

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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.