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Finding the Fourth Proportional to 56,169.64, 77,514 and 32,300.92

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Solution

The fourth proportional to 56,169.64, 77,514 and 32,300.92 is: 44,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,169.64 : 77,514 = 32,300.92 : x
  2. Step 2: Convert to fraction form
    56,169.64/77,514 = 32,300.92/x
  3. Step 3: Cross multiply
    56,169.64x = 77,514 × 32,300.92
  4. Step 4: Simplify right side
    56,169.64x = 2,503,773,512.88
  5. Step 5: Solve for x
    x = 2,503,773,512.88/56,169.64
  6. Step 6: Final answer
    x = 44,575.21

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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.