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Finding the Fourth Proportional to 83,460.94, 115,176.11 and 45,734.38

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Solution

The fourth proportional to 83,460.94, 115,176.11 and 45,734.38 is: 63,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.94 : 115,176.11 = 45,734.38 : x
  2. Step 2: Convert to fraction form
    83,460.94/115,176.11 = 45,734.38/x
  3. Step 3: Cross multiply
    83,460.94x = 115,176.11 × 45,734.38
  4. Step 4: Simplify right side
    83,460.94x = 5,267,507,465.05
  5. Step 5: Solve for x
    x = 5,267,507,465.05/83,460.94
  6. Step 6: Final answer
    x = 63,113.45

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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.