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Finding the Fourth Proportional to 31,326.24, 46,989.12 and 7,952.88

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Solution

The fourth proportional to 31,326.24, 46,989.12 and 7,952.88 is: 11,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326.24 : 46,989.12 = 7,952.88 : x
  2. Step 2: Convert to fraction form
    31,326.24/46,989.12 = 7,952.88/x
  3. Step 3: Cross multiply
    31,326.24x = 46,989.12 × 7,952.88
  4. Step 4: Simplify right side
    31,326.24x = 373,698,832.67
  5. Step 5: Solve for x
    x = 373,698,832.67/31,326.24
  6. Step 6: Final answer
    x = 11,929.26

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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.