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Finding the Fourth Proportional to 52,414.48, 78,624.56 and 14,971.60

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Solution

The fourth proportional to 52,414.48, 78,624.56 and 14,971.60 is: 22,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414.48 : 78,624.56 = 14,971.60 : x
  2. Step 2: Convert to fraction form
    52,414.48/78,624.56 = 14,971.60/x
  3. Step 3: Cross multiply
    52,414.48x = 78,624.56 × 14,971.60
  4. Step 4: Simplify right side
    52,414.48x = 1,177,135,462.50
  5. Step 5: Solve for x
    x = 1,177,135,462.50/52,414.48
  6. Step 6: Final answer
    x = 22,458.21

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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.