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Finding the Fourth Proportional to 31,488.16, 47,232.24 and 13,020.32

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Solution

The fourth proportional to 31,488.16, 47,232.24 and 13,020.32 is: 19,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.16 : 47,232.24 = 13,020.32 : x
  2. Step 2: Convert to fraction form
    31,488.16/47,232.24 = 13,020.32/x
  3. Step 3: Cross multiply
    31,488.16x = 47,232.24 × 13,020.32
  4. Step 4: Simplify right side
    31,488.16x = 614,978,879.12
  5. Step 5: Solve for x
    x = 614,978,879.12/31,488.16
  6. Step 6: Final answer
    x = 19,530.48

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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.