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Finding the Fourth Proportional to 83,466.32, 115,186.47 and 45,740.57

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Solution

The fourth proportional to 83,466.32, 115,186.47 and 45,740.57 is: 63,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466.32 : 115,186.47 = 45,740.57 : x
  2. Step 2: Convert to fraction form
    83,466.32/115,186.47 = 45,740.57/x
  3. Step 3: Cross multiply
    83,466.32x = 115,186.47 × 45,740.57
  4. Step 4: Simplify right side
    83,466.32x = 5,268,694,794.09
  5. Step 5: Solve for x
    x = 5,268,694,794.09/83,466.32
  6. Step 6: Final answer
    x = 63,123.60

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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.