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Finding the Fourth Proportional to 68,482.80, 102,821.40 and 42,238.80

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Solution

The fourth proportional to 68,482.80, 102,821.40 and 42,238.80 is: 63,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,482.80 : 102,821.40 = 42,238.80 : x
  2. Step 2: Convert to fraction form
    68,482.80/102,821.40 = 42,238.80/x
  3. Step 3: Cross multiply
    68,482.80x = 102,821.40 × 42,238.80
  4. Step 4: Simplify right side
    68,482.80x = 4,343,052,550.32
  5. Step 5: Solve for x
    x = 4,343,052,550.32/68,482.80
  6. Step 6: Final answer
    x = 63,418.15

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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.