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Finding the Fourth Proportional to 82,085.88, 123,154.74 and 35,360.76

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Solution

The fourth proportional to 82,085.88, 123,154.74 and 35,360.76 is: 53,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,085.88 : 123,154.74 = 35,360.76 : x
  2. Step 2: Convert to fraction form
    82,085.88/123,154.74 = 35,360.76/x
  3. Step 3: Cross multiply
    82,085.88x = 123,154.74 × 35,360.76
  4. Step 4: Simplify right side
    82,085.88x = 4,354,845,204.00
  5. Step 5: Solve for x
    x = 4,354,845,204.00/82,085.88
  6. Step 6: Final answer
    x = 53,052.31

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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.