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Finding the Fourth Proportional to 83,495.16, 115,222.56 and 45,769.32

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Solution

The fourth proportional to 83,495.16, 115,222.56 and 45,769.32 is: 63,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495.16 : 115,222.56 = 45,769.32 : x
  2. Step 2: Convert to fraction form
    83,495.16/115,222.56 = 45,769.32/x
  3. Step 3: Cross multiply
    83,495.16x = 115,222.56 × 45,769.32
  4. Step 4: Simplify right side
    83,495.16x = 5,273,658,219.86
  5. Step 5: Solve for x
    x = 5,273,658,219.86/83,495.16
  6. Step 6: Final answer
    x = 63,161.24

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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.