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Finding the Fourth Proportional to 32,047.34, 48,077.39 and 9,859.87

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Solution

The fourth proportional to 32,047.34, 48,077.39 and 9,859.87 is: 14,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.34 : 48,077.39 = 9,859.87 : x
  2. Step 2: Convert to fraction form
    32,047.34/48,077.39 = 9,859.87/x
  3. Step 3: Cross multiply
    32,047.34x = 48,077.39 × 9,859.87
  4. Step 4: Simplify right side
    32,047.34x = 474,036,815.34
  5. Step 5: Solve for x
    x = 474,036,815.34/32,047.34
  6. Step 6: Final answer
    x = 14,791.77

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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.