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Finding the Fourth Proportional to 105,321.05, 145,343.09 and 57,574.38

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Solution

The fourth proportional to 105,321.05, 145,343.09 and 57,574.38 is: 79,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,321.05 : 145,343.09 = 57,574.38 : x
  2. Step 2: Convert to fraction form
    105,321.05/145,343.09 = 57,574.38/x
  3. Step 3: Cross multiply
    105,321.05x = 145,343.09 × 57,574.38
  4. Step 4: Simplify right side
    105,321.05x = 8,368,038,294.03
  5. Step 5: Solve for x
    x = 8,368,038,294.03/105,321.05
  6. Step 6: Final answer
    x = 79,452.67

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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.