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Finding the Fourth Proportional to 85,423.72, 117,853.50 and 53,581

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Solution

The fourth proportional to 85,423.72, 117,853.50 and 53,581 is: 73,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,423.72 : 117,853.50 = 53,581 : x
  2. Step 2: Convert to fraction form
    85,423.72/117,853.50 = 53,581/x
  3. Step 3: Cross multiply
    85,423.72x = 117,853.50 × 53,581
  4. Step 4: Simplify right side
    85,423.72x = 6,314,708,383.50
  5. Step 5: Solve for x
    x = 6,314,708,383.50/85,423.72
  6. Step 6: Final answer
    x = 73,922.19

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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.