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Finding the Fourth Proportional to 50,309.58, 75,463.59 and 12,869.31

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Solution

The fourth proportional to 50,309.58, 75,463.59 and 12,869.31 is: 19,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,309.58 : 75,463.59 = 12,869.31 : x
  2. Step 2: Convert to fraction form
    50,309.58/75,463.59 = 12,869.31/x
  3. Step 3: Cross multiply
    50,309.58x = 75,463.59 × 12,869.31
  4. Step 4: Simplify right side
    50,309.58x = 971,164,333.42
  5. Step 5: Solve for x
    x = 971,164,333.42/50,309.58
  6. Step 6: Final answer
    x = 19,303.77

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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.