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Finding the Fourth Proportional to 31,312.82, 43,216.14 and 19,380

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Solution

The fourth proportional to 31,312.82, 43,216.14 and 19,380 is: 26,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312.82 : 43,216.14 = 19,380 : x
  2. Step 2: Convert to fraction form
    31,312.82/43,216.14 = 19,380/x
  3. Step 3: Cross multiply
    31,312.82x = 43,216.14 × 19,380
  4. Step 4: Simplify right side
    31,312.82x = 837,528,793.20
  5. Step 5: Solve for x
    x = 837,528,793.20/31,312.82
  6. Step 6: Final answer
    x = 26,747.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.