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Finding the Fourth Proportional to 76,693.50, 105,836.03 and 44,432.52

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Solution

The fourth proportional to 76,693.50, 105,836.03 and 44,432.52 is: 61,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.50 : 105,836.03 = 44,432.52 : x
  2. Step 2: Convert to fraction form
    76,693.50/105,836.03 = 44,432.52/x
  3. Step 3: Cross multiply
    76,693.50x = 105,836.03 × 44,432.52
  4. Step 4: Simplify right side
    76,693.50x = 4,702,561,519.70
  5. Step 5: Solve for x
    x = 4,702,561,519.70/76,693.50
  6. Step 6: Final answer
    x = 61,316.30

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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.