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Finding the Fourth Proportional to 105,753.45, 158,692.10 and 42,563.73

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Solution

The fourth proportional to 105,753.45, 158,692.10 and 42,563.73 is: 63,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,753.45 : 158,692.10 = 42,563.73 : x
  2. Step 2: Convert to fraction form
    105,753.45/158,692.10 = 42,563.73/x
  3. Step 3: Cross multiply
    105,753.45x = 158,692.10 × 42,563.73
  4. Step 4: Simplify right side
    105,753.45x = 6,754,527,484.71
  5. Step 5: Solve for x
    x = 6,754,527,484.71/105,753.45
  6. Step 6: Final answer
    x = 63,870.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.