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Finding the Fourth Proportional to 76,675.60, 114,870.84 and 41,644.72

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Solution

The fourth proportional to 76,675.60, 114,870.84 and 41,644.72 is: 62,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.60 : 114,870.84 = 41,644.72 : x
  2. Step 2: Convert to fraction form
    76,675.60/114,870.84 = 41,644.72/x
  3. Step 3: Cross multiply
    76,675.60x = 114,870.84 × 41,644.72
  4. Step 4: Simplify right side
    76,675.60x = 4,783,763,967.96
  5. Step 5: Solve for x
    x = 4,783,763,967.96/76,675.60
  6. Step 6: Final answer
    x = 62,389.65

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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.