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Finding the Fourth Proportional to 45,602, 68,346.84 and 32,382.80

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Solution

The fourth proportional to 45,602, 68,346.84 and 32,382.80 is: 48,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,602 : 68,346.84 = 32,382.80 : x
  2. Step 2: Convert to fraction form
    45,602/68,346.84 = 32,382.80/x
  3. Step 3: Cross multiply
    45,602x = 68,346.84 × 32,382.80
  4. Step 4: Simplify right side
    45,602x = 2,213,262,050.35
  5. Step 5: Solve for x
    x = 2,213,262,050.35/45,602
  6. Step 6: Final answer
    x = 48,534.32

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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.