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Finding the Fourth Proportional to 82,193.16, 113,426.72 and 44,467.40

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Solution

The fourth proportional to 82,193.16, 113,426.72 and 44,467.40 is: 61,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.16 : 113,426.72 = 44,467.40 : x
  2. Step 2: Convert to fraction form
    82,193.16/113,426.72 = 44,467.40/x
  3. Step 3: Cross multiply
    82,193.16x = 113,426.72 × 44,467.40
  4. Step 4: Simplify right side
    82,193.16x = 5,043,791,328.93
  5. Step 5: Solve for x
    x = 5,043,791,328.93/82,193.16
  6. Step 6: Final answer
    x = 61,365.10

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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.