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Finding the Fourth Proportional to 82,104.64, 113,316.16 and 59,518.40

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Solution

The fourth proportional to 82,104.64, 113,316.16 and 59,518.40 is: 82,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.64 : 113,316.16 = 59,518.40 : x
  2. Step 2: Convert to fraction form
    82,104.64/113,316.16 = 59,518.40/x
  3. Step 3: Cross multiply
    82,104.64x = 113,316.16 × 59,518.40
  4. Step 4: Simplify right side
    82,104.64x = 6,744,396,537.34
  5. Step 5: Solve for x
    x = 6,744,396,537.34/82,104.64
  6. Step 6: Final answer
    x = 82,143.91

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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.