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Finding the Fourth Proportional to 52,508.96, 78,675.80 and 36,898.64

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Solution

The fourth proportional to 52,508.96, 78,675.80 and 36,898.64 is: 55,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.96 : 78,675.80 = 36,898.64 : x
  2. Step 2: Convert to fraction form
    52,508.96/78,675.80 = 36,898.64/x
  3. Step 3: Cross multiply
    52,508.96x = 78,675.80 × 36,898.64
  4. Step 4: Simplify right side
    52,508.96x = 2,903,030,020.91
  5. Step 5: Solve for x
    x = 2,903,030,020.91/52,508.96
  6. Step 6: Final answer
    x = 55,286.37

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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.