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Finding the Fourth Proportional to 83,312.94, 114,971.37 and 45,072.38

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Solution

The fourth proportional to 83,312.94, 114,971.37 and 45,072.38 is: 62,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.94 : 114,971.37 = 45,072.38 : x
  2. Step 2: Convert to fraction form
    83,312.94/114,971.37 = 45,072.38/x
  3. Step 3: Cross multiply
    83,312.94x = 114,971.37 × 45,072.38
  4. Step 4: Simplify right side
    83,312.94x = 5,182,032,702.90
  5. Step 5: Solve for x
    x = 5,182,032,702.90/83,312.94
  6. Step 6: Final answer
    x = 62,199.61

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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.