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Finding the Fourth Proportional to 83,157.34, 114,757.11 and 44,916.88

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Solution

The fourth proportional to 83,157.34, 114,757.11 and 44,916.88 is: 61,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.34 : 114,757.11 = 44,916.88 : x
  2. Step 2: Convert to fraction form
    83,157.34/114,757.11 = 44,916.88/x
  3. Step 3: Cross multiply
    83,157.34x = 114,757.11 × 44,916.88
  4. Step 4: Simplify right side
    83,157.34x = 5,154,531,339.02
  5. Step 5: Solve for x
    x = 5,154,531,339.02/83,157.34
  6. Step 6: Final answer
    x = 61,985.28

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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.