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Finding the Fourth Proportional to 83,901.49, 115,782.85 and 46,175.74

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Solution

The fourth proportional to 83,901.49, 115,782.85 and 46,175.74 is: 63,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901.49 : 115,782.85 = 46,175.74 : x
  2. Step 2: Convert to fraction form
    83,901.49/115,782.85 = 46,175.74/x
  3. Step 3: Cross multiply
    83,901.49x = 115,782.85 × 46,175.74
  4. Step 4: Simplify right side
    83,901.49x = 5,346,358,546.32
  5. Step 5: Solve for x
    x = 5,346,358,546.32/83,901.49
  6. Step 6: Final answer
    x = 63,721.86

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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.