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Finding the Fourth Proportional to 83,087.84, 114,661.80 and 45,362.96

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Solution

The fourth proportional to 83,087.84, 114,661.80 and 45,362.96 is: 62,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,087.84 : 114,661.80 = 45,362.96 : x
  2. Step 2: Convert to fraction form
    83,087.84/114,661.80 = 45,362.96/x
  3. Step 3: Cross multiply
    83,087.84x = 114,661.80 × 45,362.96
  4. Step 4: Simplify right side
    83,087.84x = 5,201,398,646.93
  5. Step 5: Solve for x
    x = 5,201,398,646.93/83,087.84
  6. Step 6: Final answer
    x = 62,601.20

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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.