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Finding the Fourth Proportional to 94,083.60, 129,836.84 and 51,646

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Solution

The fourth proportional to 94,083.60, 129,836.84 and 51,646 is: 71,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,083.60 : 129,836.84 = 51,646 : x
  2. Step 2: Convert to fraction form
    94,083.60/129,836.84 = 51,646/x
  3. Step 3: Cross multiply
    94,083.60x = 129,836.84 × 51,646
  4. Step 4: Simplify right side
    94,083.60x = 6,705,553,438.64
  5. Step 5: Solve for x
    x = 6,705,553,438.64/94,083.60
  6. Step 6: Final answer
    x = 71,272.29

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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.