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Finding the Fourth Proportional to 32,361.88, 48,497.70 and 24,457.90

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Solution

The fourth proportional to 32,361.88, 48,497.70 and 24,457.90 is: 36,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361.88 : 48,497.70 = 24,457.90 : x
  2. Step 2: Convert to fraction form
    32,361.88/48,497.70 = 24,457.90/x
  3. Step 3: Cross multiply
    32,361.88x = 48,497.70 × 24,457.90
  4. Step 4: Simplify right side
    32,361.88x = 1,186,151,896.83
  5. Step 5: Solve for x
    x = 1,186,151,896.83/32,361.88
  6. Step 6: Final answer
    x = 36,652.75

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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.