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Finding the Fourth Proportional to 52,252.39, 78,377.50 and 12,809.71

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Solution

The fourth proportional to 52,252.39, 78,377.50 and 12,809.71 is: 19,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252.39 : 78,377.50 = 12,809.71 : x
  2. Step 2: Convert to fraction form
    52,252.39/78,377.50 = 12,809.71/x
  3. Step 3: Cross multiply
    52,252.39x = 78,377.50 × 12,809.71
  4. Step 4: Simplify right side
    52,252.39x = 1,003,993,045.53
  5. Step 5: Solve for x
    x = 1,003,993,045.53/52,252.39
  6. Step 6: Final answer
    x = 19,214.30

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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.