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Finding the Fourth Proportional to 56,494.80, 84,742.74 and 17,052.21

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Solution

The fourth proportional to 56,494.80, 84,742.74 and 17,052.21 is: 25,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.80 : 84,742.74 = 17,052.21 : x
  2. Step 2: Convert to fraction form
    56,494.80/84,742.74 = 17,052.21/x
  3. Step 3: Cross multiply
    56,494.80x = 84,742.74 × 17,052.21
  4. Step 4: Simplify right side
    56,494.80x = 1,445,050,998.46
  5. Step 5: Solve for x
    x = 1,445,050,998.46/56,494.80
  6. Step 6: Final answer
    x = 25,578.48

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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.