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Finding the Fourth Proportional to 107,193.51, 147,926.79 and 59,454

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Solution

The fourth proportional to 107,193.51, 147,926.79 and 59,454 is: 82,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,193.51 : 147,926.79 = 59,454 : x
  2. Step 2: Convert to fraction form
    107,193.51/147,926.79 = 59,454/x
  3. Step 3: Cross multiply
    107,193.51x = 147,926.79 × 59,454
  4. Step 4: Simplify right side
    107,193.51x = 8,794,839,372.66
  5. Step 5: Solve for x
    x = 8,794,839,372.66/107,193.51
  6. Step 6: Final answer
    x = 82,046.38

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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.