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Finding the Fourth Proportional to 77,032.40, 106,293.96 and 43,039.44

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Solution

The fourth proportional to 77,032.40, 106,293.96 and 43,039.44 is: 59,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,032.40 : 106,293.96 = 43,039.44 : x
  2. Step 2: Convert to fraction form
    77,032.40/106,293.96 = 43,039.44/x
  3. Step 3: Cross multiply
    77,032.40x = 106,293.96 × 43,039.44
  4. Step 4: Simplify right side
    77,032.40x = 4,574,832,513.78
  5. Step 5: Solve for x
    x = 4,574,832,513.78/77,032.40
  6. Step 6: Final answer
    x = 59,388.42

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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.