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Finding the Fourth Proportional to 31,477.56, 47,216.52 and 11,733

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Solution

The fourth proportional to 31,477.56, 47,216.52 and 11,733 is: 17,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.56 : 47,216.52 = 11,733 : x
  2. Step 2: Convert to fraction form
    31,477.56/47,216.52 = 11,733/x
  3. Step 3: Cross multiply
    31,477.56x = 47,216.52 × 11,733
  4. Step 4: Simplify right side
    31,477.56x = 553,991,429.16
  5. Step 5: Solve for x
    x = 553,991,429.16/31,477.56
  6. Step 6: Final answer
    x = 17,599.57

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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.