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Finding the Fourth Proportional to 52,237.36, 78,355.50 and 12,794.68

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Solution

The fourth proportional to 52,237.36, 78,355.50 and 12,794.68 is: 19,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,237.36 : 78,355.50 = 12,794.68 : x
  2. Step 2: Convert to fraction form
    52,237.36/78,355.50 = 12,794.68/x
  3. Step 3: Cross multiply
    52,237.36x = 78,355.50 × 12,794.68
  4. Step 4: Simplify right side
    52,237.36x = 1,002,533,548.74
  5. Step 5: Solve for x
    x = 1,002,533,548.74/52,237.36
  6. Step 6: Final answer
    x = 19,191.89

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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.