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Finding the Fourth Proportional to 32,130.88, 48,191.56 and 12,406.97

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Solution

The fourth proportional to 32,130.88, 48,191.56 and 12,406.97 is: 18,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130.88 : 48,191.56 = 12,406.97 : x
  2. Step 2: Convert to fraction form
    32,130.88/48,191.56 = 12,406.97/x
  3. Step 3: Cross multiply
    32,130.88x = 48,191.56 × 12,406.97
  4. Step 4: Simplify right side
    32,130.88x = 597,911,328.63
  5. Step 5: Solve for x
    x = 597,911,328.63/32,130.88
  6. Step 6: Final answer
    x = 18,608.62

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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.