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Finding the Fourth Proportional to 76,102.16, 105,020.58 and 43,824.97

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Solution

The fourth proportional to 76,102.16, 105,020.58 and 43,824.97 is: 60,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.16 : 105,020.58 = 43,824.97 : x
  2. Step 2: Convert to fraction form
    76,102.16/105,020.58 = 43,824.97/x
  3. Step 3: Cross multiply
    76,102.16x = 105,020.58 × 43,824.97
  4. Step 4: Simplify right side
    76,102.16x = 4,602,523,767.88
  5. Step 5: Solve for x
    x = 4,602,523,767.88/76,102.16
  6. Step 6: Final answer
    x = 60,478.23

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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.