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Finding the Fourth Proportional to 83,497.84, 115,235.26 and 47,693.21

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Solution

The fourth proportional to 83,497.84, 115,235.26 and 47,693.21 is: 65,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.84 : 115,235.26 = 47,693.21 : x
  2. Step 2: Convert to fraction form
    83,497.84/115,235.26 = 47,693.21/x
  3. Step 3: Cross multiply
    83,497.84x = 115,235.26 × 47,693.21
  4. Step 4: Simplify right side
    83,497.84x = 5,495,938,759.18
  5. Step 5: Solve for x
    x = 5,495,938,759.18/83,497.84
  6. Step 6: Final answer
    x = 65,821.33

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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.