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Finding the Fourth Proportional to 62,783, 86,655.46 and 35,941

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Solution

The fourth proportional to 62,783, 86,655.46 and 35,941 is: 49,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,783 : 86,655.46 = 35,941 : x
  2. Step 2: Convert to fraction form
    62,783/86,655.46 = 35,941/x
  3. Step 3: Cross multiply
    62,783x = 86,655.46 × 35,941
  4. Step 4: Simplify right side
    62,783x = 3,114,483,887.86
  5. Step 5: Solve for x
    x = 3,114,483,887.86/62,783
  6. Step 6: Final answer
    x = 49,607.12

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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.