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Finding the Fourth Proportional to 76,824.70, 105,980.40 and 51,337.33

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Solution

The fourth proportional to 76,824.70, 105,980.40 and 51,337.33 is: 70,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,824.70 : 105,980.40 = 51,337.33 : x
  2. Step 2: Convert to fraction form
    76,824.70/105,980.40 = 51,337.33/x
  3. Step 3: Cross multiply
    76,824.70x = 105,980.40 × 51,337.33
  4. Step 4: Simplify right side
    76,824.70x = 5,440,750,503.38
  5. Step 5: Solve for x
    x = 5,440,750,503.38/76,824.70
  6. Step 6: Final answer
    x = 70,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.