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Finding the Fourth Proportional to 83,205.36, 114,823.26 and 47,395.35

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Solution

The fourth proportional to 83,205.36, 114,823.26 and 47,395.35 is: 65,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.36 : 114,823.26 = 47,395.35 : x
  2. Step 2: Convert to fraction form
    83,205.36/114,823.26 = 47,395.35/x
  3. Step 3: Cross multiply
    83,205.36x = 114,823.26 × 47,395.35
  4. Step 4: Simplify right side
    83,205.36x = 5,442,088,595.84
  5. Step 5: Solve for x
    x = 5,442,088,595.84/83,205.36
  6. Step 6: Final answer
    x = 65,405.51

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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.