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Finding the Fourth Proportional to 81,951.57, 113,084.37 and 46,140.93

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Solution

The fourth proportional to 81,951.57, 113,084.37 and 46,140.93 is: 63,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,951.57 : 113,084.37 = 46,140.93 : x
  2. Step 2: Convert to fraction form
    81,951.57/113,084.37 = 46,140.93/x
  3. Step 3: Cross multiply
    81,951.57x = 113,084.37 × 46,140.93
  4. Step 4: Simplify right side
    81,951.57x = 5,217,818,000.26
  5. Step 5: Solve for x
    x = 5,217,818,000.26/81,951.57
  6. Step 6: Final answer
    x = 63,669.53

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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.