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Finding the Fourth Proportional to 84,197.68, 116,191.06 and 45,957.98

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Solution

The fourth proportional to 84,197.68, 116,191.06 and 45,957.98 is: 63,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,197.68 : 116,191.06 = 45,957.98 : x
  2. Step 2: Convert to fraction form
    84,197.68/116,191.06 = 45,957.98/x
  3. Step 3: Cross multiply
    84,197.68x = 116,191.06 × 45,957.98
  4. Step 4: Simplify right side
    84,197.68x = 5,339,906,587.24
  5. Step 5: Solve for x
    x = 5,339,906,587.24/84,197.68
  6. Step 6: Final answer
    x = 63,421.07

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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.