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Finding the Fourth Proportional to 83,502.94, 115,235.67 and 45,774.94

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Solution

The fourth proportional to 83,502.94, 115,235.67 and 45,774.94 is: 63,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.94 : 115,235.67 = 45,774.94 : x
  2. Step 2: Convert to fraction form
    83,502.94/115,235.67 = 45,774.94/x
  3. Step 3: Cross multiply
    83,502.94x = 115,235.67 × 45,774.94
  4. Step 4: Simplify right side
    83,502.94x = 5,274,905,880.11
  5. Step 5: Solve for x
    x = 5,274,905,880.11/83,502.94
  6. Step 6: Final answer
    x = 63,170.30

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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.