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Finding the Fourth Proportional to 52,234.64, 78,357.54 and 16,683.54

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Solution

The fourth proportional to 52,234.64, 78,357.54 and 16,683.54 is: 25,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234.64 : 78,357.54 = 16,683.54 : x
  2. Step 2: Convert to fraction form
    52,234.64/78,357.54 = 16,683.54/x
  3. Step 3: Cross multiply
    52,234.64x = 78,357.54 × 16,683.54
  4. Step 4: Simplify right side
    52,234.64x = 1,307,281,152.89
  5. Step 5: Solve for x
    x = 1,307,281,152.89/52,234.64
  6. Step 6: Final answer
    x = 25,027.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.