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Finding the Fourth Proportional to 50,690.40, 75,973.32 and 28,457.16

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Solution

The fourth proportional to 50,690.40, 75,973.32 and 28,457.16 is: 42,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,690.40 : 75,973.32 = 28,457.16 : x
  2. Step 2: Convert to fraction form
    50,690.40/75,973.32 = 28,457.16/x
  3. Step 3: Cross multiply
    50,690.40x = 75,973.32 × 28,457.16
  4. Step 4: Simplify right side
    50,690.40x = 2,161,984,922.97
  5. Step 5: Solve for x
    x = 2,161,984,922.97/50,690.40
  6. Step 6: Final answer
    x = 42,650.78

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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.