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Finding the Fourth Proportional to 83,497.94, 115,235.13 and 47,693.30

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Solution

The fourth proportional to 83,497.94, 115,235.13 and 47,693.30 is: 65,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.94 : 115,235.13 = 47,693.30 : x
  2. Step 2: Convert to fraction form
    83,497.94/115,235.13 = 47,693.30/x
  3. Step 3: Cross multiply
    83,497.94x = 115,235.13 × 47,693.30
  4. Step 4: Simplify right side
    83,497.94x = 5,495,943,625.63
  5. Step 5: Solve for x
    x = 5,495,943,625.63/83,497.94
  6. Step 6: Final answer
    x = 65,821.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.