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Finding the Fourth Proportional to 82,537.16, 113,899.08 and 46,730.54

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Solution

The fourth proportional to 82,537.16, 113,899.08 and 46,730.54 is: 64,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,537.16 : 113,899.08 = 46,730.54 : x
  2. Step 2: Convert to fraction form
    82,537.16/113,899.08 = 46,730.54/x
  3. Step 3: Cross multiply
    82,537.16x = 113,899.08 × 46,730.54
  4. Step 4: Simplify right side
    82,537.16x = 5,322,565,513.90
  5. Step 5: Solve for x
    x = 5,322,565,513.90/82,537.16
  6. Step 6: Final answer
    x = 64,486.90

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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.