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Finding the Fourth Proportional to 50,873.32, 70,201.38 and 28,513

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Solution

The fourth proportional to 50,873.32, 70,201.38 and 28,513 is: 39,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,873.32 : 70,201.38 = 28,513 : x
  2. Step 2: Convert to fraction form
    50,873.32/70,201.38 = 28,513/x
  3. Step 3: Cross multiply
    50,873.32x = 70,201.38 × 28,513
  4. Step 4: Simplify right side
    50,873.32x = 2,001,651,947.94
  5. Step 5: Solve for x
    x = 2,001,651,947.94/50,873.32
  6. Step 6: Final answer
    x = 39,345.81

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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.