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Finding the Fourth Proportional to 74,823, 103,255.74 and 41,289

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Solution

The fourth proportional to 74,823, 103,255.74 and 41,289 is: 56,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,823 : 103,255.74 = 41,289 : x
  2. Step 2: Convert to fraction form
    74,823/103,255.74 = 41,289/x
  3. Step 3: Cross multiply
    74,823x = 103,255.74 × 41,289
  4. Step 4: Simplify right side
    74,823x = 4,263,326,248.86
  5. Step 5: Solve for x
    x = 4,263,326,248.86/74,823
  6. Step 6: Final answer
    x = 56,978.82

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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.