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Finding the Fourth Proportional to 52,258.89, 78,389.28 and 12,816.30

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Solution

The fourth proportional to 52,258.89, 78,389.28 and 12,816.30 is: 19,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,258.89 : 78,389.28 = 12,816.30 : x
  2. Step 2: Convert to fraction form
    52,258.89/78,389.28 = 12,816.30/x
  3. Step 3: Cross multiply
    52,258.89x = 78,389.28 × 12,816.30
  4. Step 4: Simplify right side
    52,258.89x = 1,004,660,529.26
  5. Step 5: Solve for x
    x = 1,004,660,529.26/52,258.89
  6. Step 6: Final answer
    x = 19,224.68

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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.