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Finding the Fourth Proportional to 83,068.79, 114,630.94 and 47,255.45

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Solution

The fourth proportional to 83,068.79, 114,630.94 and 47,255.45 is: 65,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,068.79 : 114,630.94 = 47,255.45 : x
  2. Step 2: Convert to fraction form
    83,068.79/114,630.94 = 47,255.45/x
  3. Step 3: Cross multiply
    83,068.79x = 114,630.94 × 47,255.45
  4. Step 4: Simplify right side
    83,068.79x = 5,416,936,653.62
  5. Step 5: Solve for x
    x = 5,416,936,653.62/83,068.79
  6. Step 6: Final answer
    x = 65,210.25

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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.