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Finding the Fourth Proportional to 82,381.32, 113,685.03 and 46,570.14

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Solution

The fourth proportional to 82,381.32, 113,685.03 and 46,570.14 is: 64,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,381.32 : 113,685.03 = 46,570.14 : x
  2. Step 2: Convert to fraction form
    82,381.32/113,685.03 = 46,570.14/x
  3. Step 3: Cross multiply
    82,381.32x = 113,685.03 × 46,570.14
  4. Step 4: Simplify right side
    82,381.32x = 5,294,327,763.00
  5. Step 5: Solve for x
    x = 5,294,327,763.00/82,381.32
  6. Step 6: Final answer
    x = 64,266.12

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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.