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Finding the Fourth Proportional to 107,057.90, 160,513.04 and 47,057.56

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Solution

The fourth proportional to 107,057.90, 160,513.04 and 47,057.56 is: 70,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,057.90 : 160,513.04 = 47,057.56 : x
  2. Step 2: Convert to fraction form
    107,057.90/160,513.04 = 47,057.56/x
  3. Step 3: Cross multiply
    107,057.90x = 160,513.04 × 47,057.56
  4. Step 4: Simplify right side
    107,057.90x = 7,553,351,726.94
  5. Step 5: Solve for x
    x = 7,553,351,726.94/107,057.90
  6. Step 6: Final answer
    x = 70,553.89

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