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Finding the Fourth Proportional to 32,038.44, 48,057.64 and 14,507.88

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Solution

The fourth proportional to 32,038.44, 48,057.64 and 14,507.88 is: 21,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.44 : 48,057.64 = 14,507.88 : x
  2. Step 2: Convert to fraction form
    32,038.44/48,057.64 = 14,507.88/x
  3. Step 3: Cross multiply
    32,038.44x = 48,057.64 × 14,507.88
  4. Step 4: Simplify right side
    32,038.44x = 697,214,474.20
  5. Step 5: Solve for x
    x = 697,214,474.20/32,038.44
  6. Step 6: Final answer
    x = 21,761.81

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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.