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Finding the Fourth Proportional to 82,314.42, 113,594.04 and 48,316.32

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Solution

The fourth proportional to 82,314.42, 113,594.04 and 48,316.32 is: 66,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.42 : 113,594.04 = 48,316.32 : x
  2. Step 2: Convert to fraction form
    82,314.42/113,594.04 = 48,316.32/x
  3. Step 3: Cross multiply
    82,314.42x = 113,594.04 × 48,316.32
  4. Step 4: Simplify right side
    82,314.42x = 5,488,445,986.73
  5. Step 5: Solve for x
    x = 5,488,445,986.73/82,314.42
  6. Step 6: Final answer
    x = 66,676.60

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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.