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Finding the Fourth Proportional to 82,312.02, 113,589.99 and 44,586

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Solution

The fourth proportional to 82,312.02, 113,589.99 and 44,586 is: 61,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.02 : 113,589.99 = 44,586 : x
  2. Step 2: Convert to fraction form
    82,312.02/113,589.99 = 44,586/x
  3. Step 3: Cross multiply
    82,312.02x = 113,589.99 × 44,586
  4. Step 4: Simplify right side
    82,312.02x = 5,064,523,294.14
  5. Step 5: Solve for x
    x = 5,064,523,294.14/82,312.02
  6. Step 6: Final answer
    x = 61,528.36

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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.