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Finding the Fourth Proportional to 56,213.67, 84,312 and 21,145.17

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Solution

The fourth proportional to 56,213.67, 84,312 and 21,145.17 is: 31,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,213.67 : 84,312 = 21,145.17 : x
  2. Step 2: Convert to fraction form
    56,213.67/84,312 = 21,145.17/x
  3. Step 3: Cross multiply
    56,213.67x = 84,312 × 21,145.17
  4. Step 4: Simplify right side
    56,213.67x = 1,782,791,573.04
  5. Step 5: Solve for x
    x = 1,782,791,573.04/56,213.67
  6. Step 6: Final answer
    x = 31,714.56

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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.