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Finding the Fourth Proportional to 82,381.64, 113,689.35 and 45,588.29

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Solution

The fourth proportional to 82,381.64, 113,689.35 and 45,588.29 is: 62,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,381.64 : 113,689.35 = 45,588.29 : x
  2. Step 2: Convert to fraction form
    82,381.64/113,689.35 = 45,588.29/x
  3. Step 3: Cross multiply
    82,381.64x = 113,689.35 × 45,588.29
  4. Step 4: Simplify right side
    82,381.64x = 5,182,902,489.26
  5. Step 5: Solve for x
    x = 5,182,902,489.26/82,381.64
  6. Step 6: Final answer
    x = 62,913.32

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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.