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Finding the Fourth Proportional to 56,175.96, 77,516.22 and 31,023.96

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Solution

The fourth proportional to 56,175.96, 77,516.22 and 31,023.96 is: 42,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,175.96 : 77,516.22 = 31,023.96 : x
  2. Step 2: Convert to fraction form
    56,175.96/77,516.22 = 31,023.96/x
  3. Step 3: Cross multiply
    56,175.96x = 77,516.22 × 31,023.96
  4. Step 4: Simplify right side
    56,175.96x = 2,404,860,108.63
  5. Step 5: Solve for x
    x = 2,404,860,108.63/56,175.96
  6. Step 6: Final answer
    x = 42,809.42

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1.5x scale

Why These Related Problems?

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