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Finding the Fourth Proportional to 81,435.48, 122,291.91 and 53,020.80

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Solution

The fourth proportional to 81,435.48, 122,291.91 and 53,020.80 is: 79,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,435.48 : 122,291.91 = 53,020.80 : x
  2. Step 2: Convert to fraction form
    81,435.48/122,291.91 = 53,020.80/x
  3. Step 3: Cross multiply
    81,435.48x = 122,291.91 × 53,020.80
  4. Step 4: Simplify right side
    81,435.48x = 6,484,014,901.73
  5. Step 5: Solve for x
    x = 6,484,014,901.73/81,435.48
  6. Step 6: Final answer
    x = 79,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.