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Finding the Fourth Proportional to 50,690.16, 76,048.20 and 21,098.16

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Solution

The fourth proportional to 50,690.16, 76,048.20 and 21,098.16 is: 31,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,690.16 : 76,048.20 = 21,098.16 : x
  2. Step 2: Convert to fraction form
    50,690.16/76,048.20 = 21,098.16/x
  3. Step 3: Cross multiply
    50,690.16x = 76,048.20 × 21,098.16
  4. Step 4: Simplify right side
    50,690.16x = 1,604,477,091.31
  5. Step 5: Solve for x
    x = 1,604,477,091.31/50,690.16
  6. Step 6: Final answer
    x = 31,652.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.