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Finding the Fourth Proportional to 84,721.95, 127,097.51 and 34,829.19

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Solution

The fourth proportional to 84,721.95, 127,097.51 and 34,829.19 is: 52,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721.95 : 127,097.51 = 34,829.19 : x
  2. Step 2: Convert to fraction form
    84,721.95/127,097.51 = 34,829.19/x
  3. Step 3: Cross multiply
    84,721.95x = 127,097.51 × 34,829.19
  4. Step 4: Simplify right side
    84,721.95x = 4,426,703,150.17
  5. Step 5: Solve for x
    x = 4,426,703,150.17/84,721.95
  6. Step 6: Final answer
    x = 52,249.78

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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.