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Finding the Fourth Proportional to 76,211.79, 105,171.16 and 42,220.22

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Solution

The fourth proportional to 76,211.79, 105,171.16 and 42,220.22 is: 58,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.79 : 105,171.16 = 42,220.22 : x
  2. Step 2: Convert to fraction form
    76,211.79/105,171.16 = 42,220.22/x
  3. Step 3: Cross multiply
    76,211.79x = 105,171.16 × 42,220.22
  4. Step 4: Simplify right side
    76,211.79x = 4,440,349,512.86
  5. Step 5: Solve for x
    x = 4,440,349,512.86/76,211.79
  6. Step 6: Final answer
    x = 58,263.29

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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.