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Finding the Fourth Proportional to 32,507.92, 48,735 and 14,962.96

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Solution

The fourth proportional to 32,507.92, 48,735 and 14,962.96 is: 22,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.92 : 48,735 = 14,962.96 : x
  2. Step 2: Convert to fraction form
    32,507.92/48,735 = 14,962.96/x
  3. Step 3: Cross multiply
    32,507.92x = 48,735 × 14,962.96
  4. Step 4: Simplify right side
    32,507.92x = 729,219,855.60
  5. Step 5: Solve for x
    x = 729,219,855.60/32,507.92
  6. Step 6: Final answer
    x = 22,432.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.