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Finding the Fourth Proportional to 82,930.53, 114,444.14 and 45,204.78

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Solution

The fourth proportional to 82,930.53, 114,444.14 and 45,204.78 is: 62,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930.53 : 114,444.14 = 45,204.78 : x
  2. Step 2: Convert to fraction form
    82,930.53/114,444.14 = 45,204.78/x
  3. Step 3: Cross multiply
    82,930.53x = 114,444.14 × 45,204.78
  4. Step 4: Simplify right side
    82,930.53x = 5,173,422,170.99
  5. Step 5: Solve for x
    x = 5,173,422,170.99/82,930.53
  6. Step 6: Final answer
    x = 62,382.60

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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.