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Finding the Fourth Proportional to 83,444.63, 115,153.09 and 45,204.90

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Solution

The fourth proportional to 83,444.63, 115,153.09 and 45,204.90 is: 62,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,444.63 : 115,153.09 = 45,204.90 : x
  2. Step 2: Convert to fraction form
    83,444.63/115,153.09 = 45,204.90/x
  3. Step 3: Cross multiply
    83,444.63x = 115,153.09 × 45,204.90
  4. Step 4: Simplify right side
    83,444.63x = 5,205,483,918.14
  5. Step 5: Solve for x
    x = 5,205,483,918.14/83,444.63
  6. Step 6: Final answer
    x = 62,382.49

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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.