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Finding the Fourth Proportional to 83,688, 115,490.25 and 45,963.06

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Solution

The fourth proportional to 83,688, 115,490.25 and 45,963.06 is: 63,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,688 : 115,490.25 = 45,963.06 : x
  2. Step 2: Convert to fraction form
    83,688/115,490.25 = 45,963.06/x
  3. Step 3: Cross multiply
    83,688x = 115,490.25 × 45,963.06
  4. Step 4: Simplify right side
    83,688x = 5,308,285,290.17
  5. Step 5: Solve for x
    x = 5,308,285,290.17/83,688
  6. Step 6: Final answer
    x = 63,429.47

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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.