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Finding the Fourth Proportional to 77,212.30, 106,543.98 and 43,222.66

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Solution

The fourth proportional to 77,212.30, 106,543.98 and 43,222.66 is: 59,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,212.30 : 106,543.98 = 43,222.66 : x
  2. Step 2: Convert to fraction form
    77,212.30/106,543.98 = 43,222.66/x
  3. Step 3: Cross multiply
    77,212.30x = 106,543.98 × 43,222.66
  4. Step 4: Simplify right side
    77,212.30x = 4,605,114,222.59
  5. Step 5: Solve for x
    x = 4,605,114,222.59/77,212.30
  6. Step 6: Final answer
    x = 59,642.24

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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.