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Finding the Fourth Proportional to 81,598.33, 122,435.16 and 37,238.68

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Solution

The fourth proportional to 81,598.33, 122,435.16 and 37,238.68 is: 55,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598.33 : 122,435.16 = 37,238.68 : x
  2. Step 2: Convert to fraction form
    81,598.33/122,435.16 = 37,238.68/x
  3. Step 3: Cross multiply
    81,598.33x = 122,435.16 × 37,238.68
  4. Step 4: Simplify right side
    81,598.33x = 4,559,323,743.99
  5. Step 5: Solve for x
    x = 4,559,323,743.99/81,598.33
  6. Step 6: Final answer
    x = 55,875.21

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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.