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Finding the Fourth Proportional to 82,314.36, 113,587.11 and 46,507.50

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Solution

The fourth proportional to 82,314.36, 113,587.11 and 46,507.50 is: 64,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314.36 : 113,587.11 = 46,507.50 : x
  2. Step 2: Convert to fraction form
    82,314.36/113,587.11 = 46,507.50/x
  3. Step 3: Cross multiply
    82,314.36x = 113,587.11 × 46,507.50
  4. Step 4: Simplify right side
    82,314.36x = 5,282,652,518.33
  5. Step 5: Solve for x
    x = 5,282,652,518.33/82,314.36
  6. Step 6: Final answer
    x = 64,176.56

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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.