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Finding the Fourth Proportional to 56,361.42, 77,830.47 and 36,265.32

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Solution

The fourth proportional to 56,361.42, 77,830.47 and 36,265.32 is: 50,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,361.42 : 77,830.47 = 36,265.32 : x
  2. Step 2: Convert to fraction form
    56,361.42/77,830.47 = 36,265.32/x
  3. Step 3: Cross multiply
    56,361.42x = 77,830.47 × 36,265.32
  4. Step 4: Simplify right side
    56,361.42x = 2,822,546,900.30
  5. Step 5: Solve for x
    x = 2,822,546,900.30/56,361.42
  6. Step 6: Final answer
    x = 50,079.41

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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.