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Finding the Fourth Proportional to 32,085.41, 48,127.29 and 8,711.24

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Solution

The fourth proportional to 32,085.41, 48,127.29 and 8,711.24 is: 13,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.41 : 48,127.29 = 8,711.24 : x
  2. Step 2: Convert to fraction form
    32,085.41/48,127.29 = 8,711.24/x
  3. Step 3: Cross multiply
    32,085.41x = 48,127.29 × 8,711.24
  4. Step 4: Simplify right side
    32,085.41x = 419,248,133.10
  5. Step 5: Solve for x
    x = 419,248,133.10/32,085.41
  6. Step 6: Final answer
    x = 13,066.63

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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.