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Finding the Fourth Proportional to 82,359, 113,667.62 and 52,147.13

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Solution

The fourth proportional to 82,359, 113,667.62 and 52,147.13 is: 71,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359 : 113,667.62 = 52,147.13 : x
  2. Step 2: Convert to fraction form
    82,359/113,667.62 = 52,147.13/x
  3. Step 3: Cross multiply
    82,359x = 113,667.62 × 52,147.13
  4. Step 4: Simplify right side
    82,359x = 5,927,439,327.86
  5. Step 5: Solve for x
    x = 5,927,439,327.86/82,359
  6. Step 6: Final answer
    x = 71,970.75

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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.