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Finding the Fourth Proportional to 45,696.36, 63,042.42 and 29,775

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Solution

The fourth proportional to 45,696.36, 63,042.42 and 29,775 is: 41,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696.36 : 63,042.42 = 29,775 : x
  2. Step 2: Convert to fraction form
    45,696.36/63,042.42 = 29,775/x
  3. Step 3: Cross multiply
    45,696.36x = 63,042.42 × 29,775
  4. Step 4: Simplify right side
    45,696.36x = 1,877,088,055.50
  5. Step 5: Solve for x
    x = 1,877,088,055.50/45,696.36
  6. Step 6: Final answer
    x = 41,077.41

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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.