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Finding the Fourth Proportional to 105,745.73, 145,938.47 and 58,008.38

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Solution

The fourth proportional to 105,745.73, 145,938.47 and 58,008.38 is: 80,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.73 : 145,938.47 = 58,008.38 : x
  2. Step 2: Convert to fraction form
    105,745.73/145,938.47 = 58,008.38/x
  3. Step 3: Cross multiply
    105,745.73x = 145,938.47 × 58,008.38
  4. Step 4: Simplify right side
    105,745.73x = 8,465,653,204.64
  5. Step 5: Solve for x
    x = 8,465,653,204.64/105,745.73
  6. Step 6: Final answer
    x = 80,056.69

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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.