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Finding the Fourth Proportional to 56,586.39, 84,799.11 and 41,678.07

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Solution

The fourth proportional to 56,586.39, 84,799.11 and 41,678.07 is: 62,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,586.39 : 84,799.11 = 41,678.07 : x
  2. Step 2: Convert to fraction form
    56,586.39/84,799.11 = 41,678.07/x
  3. Step 3: Cross multiply
    56,586.39x = 84,799.11 × 41,678.07
  4. Step 4: Simplify right side
    56,586.39x = 3,534,263,242.52
  5. Step 5: Solve for x
    x = 3,534,263,242.52/56,586.39
  6. Step 6: Final answer
    x = 62,457.83

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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.