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Finding the Fourth Proportional to 77,486.25, 106,942.20 and 43,038.84

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Solution

The fourth proportional to 77,486.25, 106,942.20 and 43,038.84 is: 59,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486.25 : 106,942.20 = 43,038.84 : x
  2. Step 2: Convert to fraction form
    77,486.25/106,942.20 = 43,038.84/x
  3. Step 3: Cross multiply
    77,486.25x = 106,942.20 × 43,038.84
  4. Step 4: Simplify right side
    77,486.25x = 4,602,668,235.05
  5. Step 5: Solve for x
    x = 4,602,668,235.05/77,486.25
  6. Step 6: Final answer
    x = 59,399.81

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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.