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Finding the Fourth Proportional to 50,038, 69,025.14 and 32,135.74

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Solution

The fourth proportional to 50,038, 69,025.14 and 32,135.74 is: 44,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,038 : 69,025.14 = 32,135.74 : x
  2. Step 2: Convert to fraction form
    50,038/69,025.14 = 32,135.74/x
  3. Step 3: Cross multiply
    50,038x = 69,025.14 × 32,135.74
  4. Step 4: Simplify right side
    50,038x = 2,218,173,952.50
  5. Step 5: Solve for x
    x = 2,218,173,952.50/50,038
  6. Step 6: Final answer
    x = 44,329.79

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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.