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Finding the Fourth Proportional to 83,300.12, 114,834.54 and 59,385.27

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Solution

The fourth proportional to 83,300.12, 114,834.54 and 59,385.27 is: 81,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300.12 : 114,834.54 = 59,385.27 : x
  2. Step 2: Convert to fraction form
    83,300.12/114,834.54 = 59,385.27/x
  3. Step 3: Cross multiply
    83,300.12x = 114,834.54 × 59,385.27
  4. Step 4: Simplify right side
    83,300.12x = 6,819,480,163.23
  5. Step 5: Solve for x
    x = 6,819,480,163.23/83,300.12
  6. Step 6: Final answer
    x = 81,866.39

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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.