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Finding the Fourth Proportional to 82,354.37, 113,667.65 and 46,565.18

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Solution

The fourth proportional to 82,354.37, 113,667.65 and 46,565.18 is: 64,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.37 : 113,667.65 = 46,565.18 : x
  2. Step 2: Convert to fraction form
    82,354.37/113,667.65 = 46,565.18/x
  3. Step 3: Cross multiply
    82,354.37x = 113,667.65 × 46,565.18
  4. Step 4: Simplify right side
    82,354.37x = 5,292,954,644.07
  5. Step 5: Solve for x
    x = 5,292,954,644.07/82,354.37
  6. Step 6: Final answer
    x = 64,270.48

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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.