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Finding the Fourth Proportional to 74,074.76, 102,223.36 and 40,540.76

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Solution

The fourth proportional to 74,074.76, 102,223.36 and 40,540.76 is: 55,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074.76 : 102,223.36 = 40,540.76 : x
  2. Step 2: Convert to fraction form
    74,074.76/102,223.36 = 40,540.76/x
  3. Step 3: Cross multiply
    74,074.76x = 102,223.36 × 40,540.76
  4. Step 4: Simplify right side
    74,074.76x = 4,144,212,704.15
  5. Step 5: Solve for x
    x = 4,144,212,704.15/74,074.76
  6. Step 6: Final answer
    x = 55,946.35

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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.