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Finding the Fourth Proportional to 49,773, 68,686.74 and 27,417

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Solution

The fourth proportional to 49,773, 68,686.74 and 27,417 is: 37,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,773 : 68,686.74 = 27,417 : x
  2. Step 2: Convert to fraction form
    49,773/68,686.74 = 27,417/x
  3. Step 3: Cross multiply
    49,773x = 68,686.74 × 27,417
  4. Step 4: Simplify right side
    49,773x = 1,883,184,350.58
  5. Step 5: Solve for x
    x = 1,883,184,350.58/49,773
  6. Step 6: Final answer
    x = 37,835.46

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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.