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Finding the Fourth Proportional to 89,098.80, 122,871.44 and 53,283.12

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Solution

The fourth proportional to 89,098.80, 122,871.44 and 53,283.12 is: 73,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,098.80 : 122,871.44 = 53,283.12 : x
  2. Step 2: Convert to fraction form
    89,098.80/122,871.44 = 53,283.12/x
  3. Step 3: Cross multiply
    89,098.80x = 122,871.44 × 53,283.12
  4. Step 4: Simplify right side
    89,098.80x = 6,546,973,682.09
  5. Step 5: Solve for x
    x = 6,546,973,682.09/89,098.80
  6. Step 6: Final answer
    x = 73,479.93

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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.