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Finding the Fourth Proportional to 60,546, 83,553.84 and 34,050

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Solution

The fourth proportional to 60,546, 83,553.84 and 34,050 is: 46,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,546 : 83,553.84 = 34,050 : x
  2. Step 2: Convert to fraction form
    60,546/83,553.84 = 34,050/x
  3. Step 3: Cross multiply
    60,546x = 83,553.84 × 34,050
  4. Step 4: Simplify right side
    60,546x = 2,845,008,252
  5. Step 5: Solve for x
    x = 2,845,008,252/60,546
  6. Step 6: Final answer
    x = 46,989.20

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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.