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Finding the Fourth Proportional to 82,595.11, 113,971.56 and 48,596.11

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Solution

The fourth proportional to 82,595.11, 113,971.56 and 48,596.11 is: 67,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,595.11 : 113,971.56 = 48,596.11 : x
  2. Step 2: Convert to fraction form
    82,595.11/113,971.56 = 48,596.11/x
  3. Step 3: Cross multiply
    82,595.11x = 113,971.56 × 48,596.11
  4. Step 4: Simplify right side
    82,595.11x = 5,538,574,466.63
  5. Step 5: Solve for x
    x = 5,538,574,466.63/82,595.11
  6. Step 6: Final answer
    x = 67,056.93

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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.