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Finding the Fourth Proportional to 56,046, 84,080.52 and 23,214

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Solution

The fourth proportional to 56,046, 84,080.52 and 23,214 is: 34,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046 : 84,080.52 = 23,214 : x
  2. Step 2: Convert to fraction form
    56,046/84,080.52 = 23,214/x
  3. Step 3: Cross multiply
    56,046x = 84,080.52 × 23,214
  4. Step 4: Simplify right side
    56,046x = 1,951,845,191.28
  5. Step 5: Solve for x
    x = 1,951,845,191.28/56,046
  6. Step 6: Final answer
    x = 34,825.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.