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Finding the Fourth Proportional to 49,280, 68,006.40 and 26,924

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Solution

The fourth proportional to 49,280, 68,006.40 and 26,924 is: 37,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,280 : 68,006.40 = 26,924 : x
  2. Step 2: Convert to fraction form
    49,280/68,006.40 = 26,924/x
  3. Step 3: Cross multiply
    49,280x = 68,006.40 × 26,924
  4. Step 4: Simplify right side
    49,280x = 1,831,004,313.60
  5. Step 5: Solve for x
    x = 1,831,004,313.60/49,280
  6. Step 6: Final answer
    x = 37,155.12

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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.