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Finding the Fourth Proportional to 50,384.52, 75,461.82 and 24,107.82

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Solution

The fourth proportional to 50,384.52, 75,461.82 and 24,107.82 is: 36,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,384.52 : 75,461.82 = 24,107.82 : x
  2. Step 2: Convert to fraction form
    50,384.52/75,461.82 = 24,107.82/x
  3. Step 3: Cross multiply
    50,384.52x = 75,461.82 × 24,107.82
  4. Step 4: Simplify right side
    50,384.52x = 1,819,219,973.43
  5. Step 5: Solve for x
    x = 1,819,219,973.43/50,384.52
  6. Step 6: Final answer
    x = 36,106.72

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