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Finding the Fourth Proportional to 32,529.74, 48,798.32 and 12,538.43

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Solution

The fourth proportional to 32,529.74, 48,798.32 and 12,538.43 is: 18,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529.74 : 48,798.32 = 12,538.43 : x
  2. Step 2: Convert to fraction form
    32,529.74/48,798.32 = 12,538.43/x
  3. Step 3: Cross multiply
    32,529.74x = 48,798.32 × 12,538.43
  4. Step 4: Simplify right side
    32,529.74x = 611,854,195.75
  5. Step 5: Solve for x
    x = 611,854,195.75/32,529.74
  6. Step 6: Final answer
    x = 18,809.07

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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.