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Finding the Fourth Proportional to 49,283, 68,010.60 and 26,927

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Solution

The fourth proportional to 49,283, 68,010.60 and 26,927 is: 37,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,283 : 68,010.60 = 26,927 : x
  2. Step 2: Convert to fraction form
    49,283/68,010.60 = 26,927/x
  3. Step 3: Cross multiply
    49,283x = 68,010.60 × 26,927
  4. Step 4: Simplify right side
    49,283x = 1,831,321,426.20
  5. Step 5: Solve for x
    x = 1,831,321,426.20/49,283
  6. Step 6: Final answer
    x = 37,159.29

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1.5x scale

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.