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Finding the Fourth Proportional to 31,354.26, 47,032.83 and 7,980.90

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Solution

The fourth proportional to 31,354.26, 47,032.83 and 7,980.90 is: 11,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.26 : 47,032.83 = 7,980.90 : x
  2. Step 2: Convert to fraction form
    31,354.26/47,032.83 = 7,980.90/x
  3. Step 3: Cross multiply
    31,354.26x = 47,032.83 × 7,980.90
  4. Step 4: Simplify right side
    31,354.26x = 375,364,312.95
  5. Step 5: Solve for x
    x = 375,364,312.95/31,354.26
  6. Step 6: Final answer
    x = 11,971.72

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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.