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Finding the Fourth Proportional to 49,580, 68,420.40 and 27,224

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Solution

The fourth proportional to 49,580, 68,420.40 and 27,224 is: 37,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,580 : 68,420.40 = 27,224 : x
  2. Step 2: Convert to fraction form
    49,580/68,420.40 = 27,224/x
  3. Step 3: Cross multiply
    49,580x = 68,420.40 × 27,224
  4. Step 4: Simplify right side
    49,580x = 1,862,676,969.60
  5. Step 5: Solve for x
    x = 1,862,676,969.60/49,580
  6. Step 6: Final answer
    x = 37,569.12

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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.