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Finding the Fourth Proportional to 83,205.36, 114,823.44 and 53,397.36

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Solution

The fourth proportional to 83,205.36, 114,823.44 and 53,397.36 is: 73,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.36 : 114,823.44 = 53,397.36 : x
  2. Step 2: Convert to fraction form
    83,205.36/114,823.44 = 53,397.36/x
  3. Step 3: Cross multiply
    83,205.36x = 114,823.44 × 53,397.36
  4. Step 4: Simplify right side
    83,205.36x = 6,131,268,562.12
  5. Step 5: Solve for x
    x = 6,131,268,562.12/83,205.36
  6. Step 6: Final answer
    x = 73,688.38

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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.