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Finding the Fourth Proportional to 105,763.38, 145,953.69 and 58,017.12

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Solution

The fourth proportional to 105,763.38, 145,953.69 and 58,017.12 is: 80,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763.38 : 145,953.69 = 58,017.12 : x
  2. Step 2: Convert to fraction form
    105,763.38/145,953.69 = 58,017.12/x
  3. Step 3: Cross multiply
    105,763.38x = 145,953.69 × 58,017.12
  4. Step 4: Simplify right side
    105,763.38x = 8,467,812,747.17
  5. Step 5: Solve for x
    x = 8,467,812,747.17/105,763.38
  6. Step 6: Final answer
    x = 80,063.75

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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.