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Finding the Fourth Proportional to 52,712, 72,766.31 and 33,617.39

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Solution

The fourth proportional to 52,712, 72,766.31 and 33,617.39 is: 46,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712 : 72,766.31 = 33,617.39 : x
  2. Step 2: Convert to fraction form
    52,712/72,766.31 = 33,617.39/x
  3. Step 3: Cross multiply
    52,712x = 72,766.31 × 33,617.39
  4. Step 4: Simplify right side
    52,712x = 2,446,213,422.13
  5. Step 5: Solve for x
    x = 2,446,213,422.13/52,712
  6. Step 6: Final answer
    x = 46,407.14

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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.