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Finding the Fourth Proportional to 52,209.70, 78,705.79 and 48,733.78

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Solution

The fourth proportional to 52,209.70, 78,705.79 and 48,733.78 is: 73,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,209.70 : 78,705.79 = 48,733.78 : x
  2. Step 2: Convert to fraction form
    52,209.70/78,705.79 = 48,733.78/x
  3. Step 3: Cross multiply
    52,209.70x = 78,705.79 × 48,733.78
  4. Step 4: Simplify right side
    52,209.70x = 3,835,630,654.59
  5. Step 5: Solve for x
    x = 3,835,630,654.59/52,209.70
  6. Step 6: Final answer
    x = 73,465.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.