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Finding the Fourth Proportional to 43,482.54, 65,245.70 and 32,411.46

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Solution

The fourth proportional to 43,482.54, 65,245.70 and 32,411.46 is: 48,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,482.54 : 65,245.70 = 32,411.46 : x
  2. Step 2: Convert to fraction form
    43,482.54/65,245.70 = 32,411.46/x
  3. Step 3: Cross multiply
    43,482.54x = 65,245.70 × 32,411.46
  4. Step 4: Simplify right side
    43,482.54x = 2,114,708,233.66
  5. Step 5: Solve for x
    x = 2,114,708,233.66/43,482.54
  6. Step 6: Final answer
    x = 48,633.50

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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.