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Finding the Fourth Proportional to 76,096.41, 105,055.27 and 45,889.38

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Solution

The fourth proportional to 76,096.41, 105,055.27 and 45,889.38 is: 63,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.41 : 105,055.27 = 45,889.38 : x
  2. Step 2: Convert to fraction form
    76,096.41/105,055.27 = 45,889.38/x
  3. Step 3: Cross multiply
    76,096.41x = 105,055.27 × 45,889.38
  4. Step 4: Simplify right side
    76,096.41x = 4,820,921,206.03
  5. Step 5: Solve for x
    x = 4,820,921,206.03/76,096.41
  6. Step 6: Final answer
    x = 63,352.81

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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.