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Finding the Fourth Proportional to 32,043.47, 48,065.94 and 9,857.03

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Solution

The fourth proportional to 32,043.47, 48,065.94 and 9,857.03 is: 14,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.47 : 48,065.94 = 9,857.03 : x
  2. Step 2: Convert to fraction form
    32,043.47/48,065.94 = 9,857.03/x
  3. Step 3: Cross multiply
    32,043.47x = 48,065.94 × 9,857.03
  4. Step 4: Simplify right side
    32,043.47x = 473,787,172.23
  5. Step 5: Solve for x
    x = 473,787,172.23/32,043.47
  6. Step 6: Final answer
    x = 14,785.77

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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.