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Finding the Fourth Proportional to 82,878.47, 114,372.75 and 48,425.23

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Solution

The fourth proportional to 82,878.47, 114,372.75 and 48,425.23 is: 66,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.47 : 114,372.75 = 48,425.23 : x
  2. Step 2: Convert to fraction form
    82,878.47/114,372.75 = 48,425.23/x
  3. Step 3: Cross multiply
    82,878.47x = 114,372.75 × 48,425.23
  4. Step 4: Simplify right side
    82,878.47x = 5,538,526,405.70
  5. Step 5: Solve for x
    x = 5,538,526,405.70/82,878.47
  6. Step 6: Final answer
    x = 66,827.08

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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.