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Finding the Fourth Proportional to 52,176.90, 78,258.03 and 17,112

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Solution

The fourth proportional to 52,176.90, 78,258.03 and 17,112 is: 25,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.90 : 78,258.03 = 17,112 : x
  2. Step 2: Convert to fraction form
    52,176.90/78,258.03 = 17,112/x
  3. Step 3: Cross multiply
    52,176.90x = 78,258.03 × 17,112
  4. Step 4: Simplify right side
    52,176.90x = 1,339,151,409.36
  5. Step 5: Solve for x
    x = 1,339,151,409.36/52,176.90
  6. Step 6: Final answer
    x = 25,665.60

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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.