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Finding the Fourth Proportional to 85,308.33, 117,724.67 and 47,068.19

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Solution

The fourth proportional to 85,308.33, 117,724.67 and 47,068.19 is: 64,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,308.33 : 117,724.67 = 47,068.19 : x
  2. Step 2: Convert to fraction form
    85,308.33/117,724.67 = 47,068.19/x
  3. Step 3: Cross multiply
    85,308.33x = 117,724.67 × 47,068.19
  4. Step 4: Simplify right side
    85,308.33x = 5,541,086,311.28
  5. Step 5: Solve for x
    x = 5,541,086,311.28/85,308.33
  6. Step 6: Final answer
    x = 64,953.64

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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.