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Finding the Fourth Proportional to 106,057.81, 159,045.02 and 38,573.82

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Solution

The fourth proportional to 106,057.81, 159,045.02 and 38,573.82 is: 57,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,057.81 : 159,045.02 = 38,573.82 : x
  2. Step 2: Convert to fraction form
    106,057.81/159,045.02 = 38,573.82/x
  3. Step 3: Cross multiply
    106,057.81x = 159,045.02 × 38,573.82
  4. Step 4: Simplify right side
    106,057.81x = 6,134,973,973.38
  5. Step 5: Solve for x
    x = 6,134,973,973.38/106,057.81
  6. Step 6: Final answer
    x = 57,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.