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Finding the Fourth Proportional to 105,790.33, 145,990.85 and 58,044.03

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Solution

The fourth proportional to 105,790.33, 145,990.85 and 58,044.03 is: 80,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790.33 : 145,990.85 = 58,044.03 : x
  2. Step 2: Convert to fraction form
    105,790.33/145,990.85 = 58,044.03/x
  3. Step 3: Cross multiply
    105,790.33x = 145,990.85 × 58,044.03
  4. Step 4: Simplify right side
    105,790.33x = 8,473,897,277.13
  5. Step 5: Solve for x
    x = 8,473,897,277.13/105,790.33
  6. Step 6: Final answer
    x = 80,100.87

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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.