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Finding the Fourth Proportional to 105,754.34, 145,942.68 and 58,006.82

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Solution

The fourth proportional to 105,754.34, 145,942.68 and 58,006.82 is: 80,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.34 : 145,942.68 = 58,006.82 : x
  2. Step 2: Convert to fraction form
    105,754.34/145,942.68 = 58,006.82/x
  3. Step 3: Cross multiply
    105,754.34x = 145,942.68 × 58,006.82
  4. Step 4: Simplify right side
    105,754.34x = 8,465,670,769.08
  5. Step 5: Solve for x
    x = 8,465,670,769.08/105,754.34
  6. Step 6: Final answer
    x = 80,050.34

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1.5x scale

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.