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Finding the Fourth Proportional to 82,780, 114,236.40 and 45,054.52

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Solution

The fourth proportional to 82,780, 114,236.40 and 45,054.52 is: 62,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,780 : 114,236.40 = 45,054.52 : x
  2. Step 2: Convert to fraction form
    82,780/114,236.40 = 45,054.52/x
  3. Step 3: Cross multiply
    82,780x = 114,236.40 × 45,054.52
  4. Step 4: Simplify right side
    82,780x = 5,146,866,168.53
  5. Step 5: Solve for x
    x = 5,146,866,168.53/82,780
  6. Step 6: Final answer
    x = 62,175.24

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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.