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Finding the Fourth Proportional to 56,458.64, 77,915.44 and 33,793.32

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Solution

The fourth proportional to 56,458.64, 77,915.44 and 33,793.32 is: 46,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,458.64 : 77,915.44 = 33,793.32 : x
  2. Step 2: Convert to fraction form
    56,458.64/77,915.44 = 33,793.32/x
  3. Step 3: Cross multiply
    56,458.64x = 77,915.44 × 33,793.32
  4. Step 4: Simplify right side
    56,458.64x = 2,633,021,396.86
  5. Step 5: Solve for x
    x = 2,633,021,396.86/56,458.64
  6. Step 6: Final answer
    x = 46,636.29

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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.