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Finding the Fourth Proportional to 84,821.40, 127,232.10 and 49,343.40

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Solution

The fourth proportional to 84,821.40, 127,232.10 and 49,343.40 is: 74,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821.40 : 127,232.10 = 49,343.40 : x
  2. Step 2: Convert to fraction form
    84,821.40/127,232.10 = 49,343.40/x
  3. Step 3: Cross multiply
    84,821.40x = 127,232.10 × 49,343.40
  4. Step 4: Simplify right side
    84,821.40x = 6,278,064,403.14
  5. Step 5: Solve for x
    x = 6,278,064,403.14/84,821.40
  6. Step 6: Final answer
    x = 74,015.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.