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Finding the Fourth Proportional to 73,908.81, 102,012.39 and 42,096.51

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Solution

The fourth proportional to 73,908.81, 102,012.39 and 42,096.51 is: 58,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,908.81 : 102,012.39 = 42,096.51 : x
  2. Step 2: Convert to fraction form
    73,908.81/102,012.39 = 42,096.51/x
  3. Step 3: Cross multiply
    73,908.81x = 102,012.39 × 42,096.51
  4. Step 4: Simplify right side
    73,908.81x = 4,294,365,595.76
  5. Step 5: Solve for x
    x = 4,294,365,595.76/73,908.81
  6. Step 6: Final answer
    x = 58,103.57

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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.