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Finding the Fourth Proportional to 32,191.02, 48,270.06 and 14,645.88

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Solution

The fourth proportional to 32,191.02, 48,270.06 and 14,645.88 is: 21,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.02 : 48,270.06 = 14,645.88 : x
  2. Step 2: Convert to fraction form
    32,191.02/48,270.06 = 14,645.88/x
  3. Step 3: Cross multiply
    32,191.02x = 48,270.06 × 14,645.88
  4. Step 4: Simplify right side
    32,191.02x = 706,957,506.35
  5. Step 5: Solve for x
    x = 706,957,506.35/32,191.02
  6. Step 6: Final answer
    x = 21,961.33

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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.