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Finding the Fourth Proportional to 81,160.34, 112,032.48 and 72,647.42

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Solution

The fourth proportional to 81,160.34, 112,032.48 and 72,647.42 is: 100,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,160.34 : 112,032.48 = 72,647.42 : x
  2. Step 2: Convert to fraction form
    81,160.34/112,032.48 = 72,647.42/x
  3. Step 3: Cross multiply
    81,160.34x = 112,032.48 × 72,647.42
  4. Step 4: Simplify right side
    81,160.34x = 8,138,870,628.20
  5. Step 5: Solve for x
    x = 8,138,870,628.20/81,160.34
  6. Step 6: Final answer
    x = 100,281.38

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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.