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Finding the Fourth Proportional to 83,356.98, 114,977.25 and 59,497.08

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Solution

The fourth proportional to 83,356.98, 114,977.25 and 59,497.08 is: 82,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,356.98 : 114,977.25 = 59,497.08 : x
  2. Step 2: Convert to fraction form
    83,356.98/114,977.25 = 59,497.08/x
  3. Step 3: Cross multiply
    83,356.98x = 114,977.25 × 59,497.08
  4. Step 4: Simplify right side
    83,356.98x = 6,840,810,641.43
  5. Step 5: Solve for x
    x = 6,840,810,641.43/83,356.98
  6. Step 6: Final answer
    x = 82,066.44

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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.