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Finding the Fourth Proportional to 76,580.96, 114,858.48 and 21,164

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Solution

The fourth proportional to 76,580.96, 114,858.48 and 21,164 is: 31,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.96 : 114,858.48 = 21,164 : x
  2. Step 2: Convert to fraction form
    76,580.96/114,858.48 = 21,164/x
  3. Step 3: Cross multiply
    76,580.96x = 114,858.48 × 21,164
  4. Step 4: Simplify right side
    76,580.96x = 2,430,864,870.72
  5. Step 5: Solve for x
    x = 2,430,864,870.72/76,580.96
  6. Step 6: Final answer
    x = 31,742.42

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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.