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Finding the Fourth Proportional to 73,065.25, 100,830.05 and 39,531.25

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Solution

The fourth proportional to 73,065.25, 100,830.05 and 39,531.25 is: 54,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,065.25 : 100,830.05 = 39,531.25 : x
  2. Step 2: Convert to fraction form
    73,065.25/100,830.05 = 39,531.25/x
  3. Step 3: Cross multiply
    73,065.25x = 100,830.05 × 39,531.25
  4. Step 4: Simplify right side
    73,065.25x = 3,985,937,914.06
  5. Step 5: Solve for x
    x = 3,985,937,914.06/73,065.25
  6. Step 6: Final answer
    x = 54,553.13

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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.