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Finding the Fourth Proportional to 82,312.05, 113,589 and 46,013.31

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Solution

The fourth proportional to 82,312.05, 113,589 and 46,013.31 is: 63,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.05 : 113,589 = 46,013.31 : x
  2. Step 2: Convert to fraction form
    82,312.05/113,589 = 46,013.31/x
  3. Step 3: Cross multiply
    82,312.05x = 113,589 × 46,013.31
  4. Step 4: Simplify right side
    82,312.05x = 5,226,605,869.59
  5. Step 5: Solve for x
    x = 5,226,605,869.59/82,312.05
  6. Step 6: Final answer
    x = 63,497.46

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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.