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Finding the Fourth Proportional to 50,574.96, 75,825 and 24,254.64

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Solution

The fourth proportional to 50,574.96, 75,825 and 24,254.64 is: 36,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,574.96 : 75,825 = 24,254.64 : x
  2. Step 2: Convert to fraction form
    50,574.96/75,825 = 24,254.64/x
  3. Step 3: Cross multiply
    50,574.96x = 75,825 × 24,254.64
  4. Step 4: Simplify right side
    50,574.96x = 1,839,108,078
  5. Step 5: Solve for x
    x = 1,839,108,078/50,574.96
  6. Step 6: Final answer
    x = 36,364.00

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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.