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Finding the Fourth Proportional to 31,384.56, 47,090.52 and 11,658.72

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Solution

The fourth proportional to 31,384.56, 47,090.52 and 11,658.72 is: 17,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.56 : 47,090.52 = 11,658.72 : x
  2. Step 2: Convert to fraction form
    31,384.56/47,090.52 = 11,658.72/x
  3. Step 3: Cross multiply
    31,384.56x = 47,090.52 × 11,658.72
  4. Step 4: Simplify right side
    31,384.56x = 549,015,187.33
  5. Step 5: Solve for x
    x = 549,015,187.33/31,384.56
  6. Step 6: Final answer
    x = 17,493.16

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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.