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Finding the Fourth Proportional to 83,971.49, 115,876.37 and 46,238.45

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Solution

The fourth proportional to 83,971.49, 115,876.37 and 46,238.45 is: 63,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,971.49 : 115,876.37 = 46,238.45 : x
  2. Step 2: Convert to fraction form
    83,971.49/115,876.37 = 46,238.45/x
  3. Step 3: Cross multiply
    83,971.49x = 115,876.37 × 46,238.45
  4. Step 4: Simplify right side
    83,971.49x = 5,357,943,276.64
  5. Step 5: Solve for x
    x = 5,357,943,276.64/83,971.49
  6. Step 6: Final answer
    x = 63,806.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.