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Finding the Fourth Proportional to 56,494.90, 84,749.56 and 21,444.58

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Solution

The fourth proportional to 56,494.90, 84,749.56 and 21,444.58 is: 32,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.90 : 84,749.56 = 21,444.58 : x
  2. Step 2: Convert to fraction form
    56,494.90/84,749.56 = 21,444.58/x
  3. Step 3: Cross multiply
    56,494.90x = 84,749.56 × 21,444.58
  4. Step 4: Simplify right side
    56,494.90x = 1,817,418,719.38
  5. Step 5: Solve for x
    x = 1,817,418,719.38/56,494.90
  6. Step 6: Final answer
    x = 32,169.61

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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.