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Finding the Fourth Proportional to 83,203.84, 114,820.96 and 45,478.08

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Solution

The fourth proportional to 83,203.84, 114,820.96 and 45,478.08 is: 62,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203.84 : 114,820.96 = 45,478.08 : x
  2. Step 2: Convert to fraction form
    83,203.84/114,820.96 = 45,478.08/x
  3. Step 3: Cross multiply
    83,203.84x = 114,820.96 × 45,478.08
  4. Step 4: Simplify right side
    83,203.84x = 5,221,836,804.56
  5. Step 5: Solve for x
    x = 5,221,836,804.56/83,203.84
  6. Step 6: Final answer
    x = 62,759.56

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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.