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Finding the Fourth Proportional to 83,076.15, 114,643.60 and 47,265.39

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Solution

The fourth proportional to 83,076.15, 114,643.60 and 47,265.39 is: 65,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.15 : 114,643.60 = 47,265.39 : x
  2. Step 2: Convert to fraction form
    83,076.15/114,643.60 = 47,265.39/x
  3. Step 3: Cross multiply
    83,076.15x = 114,643.60 × 47,265.39
  4. Step 4: Simplify right side
    83,076.15x = 5,418,674,465.00
  5. Step 5: Solve for x
    x = 5,418,674,465.00/83,076.15
  6. Step 6: Final answer
    x = 65,225.39

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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.