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Finding the Fourth Proportional to 76,676.84, 105,812.88 and 44,415.80

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Solution

The fourth proportional to 76,676.84, 105,812.88 and 44,415.80 is: 61,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,676.84 : 105,812.88 = 44,415.80 : x
  2. Step 2: Convert to fraction form
    76,676.84/105,812.88 = 44,415.80/x
  3. Step 3: Cross multiply
    76,676.84x = 105,812.88 × 44,415.80
  4. Step 4: Simplify right side
    76,676.84x = 4,699,763,715.50
  5. Step 5: Solve for x
    x = 4,699,763,715.50/76,676.84
  6. Step 6: Final answer
    x = 61,293.13

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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.