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Finding the Fourth Proportional to 76,214.94, 105,175.26 and 42,223.32

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Solution

The fourth proportional to 76,214.94, 105,175.26 and 42,223.32 is: 58,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,214.94 : 105,175.26 = 42,223.32 : x
  2. Step 2: Convert to fraction form
    76,214.94/105,175.26 = 42,223.32/x
  3. Step 3: Cross multiply
    76,214.94x = 105,175.26 × 42,223.32
  4. Step 4: Simplify right side
    76,214.94x = 4,440,848,659.06
  5. Step 5: Solve for x
    x = 4,440,848,659.06/76,214.94
  6. Step 6: Final answer
    x = 58,267.43

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