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Finding the Fourth Proportional to 65,022.56, 89,731.44 and 35,214.56

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Solution

The fourth proportional to 65,022.56, 89,731.44 and 35,214.56 is: 48,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.56 : 89,731.44 = 35,214.56 : x
  2. Step 2: Convert to fraction form
    65,022.56/89,731.44 = 35,214.56/x
  3. Step 3: Cross multiply
    65,022.56x = 89,731.44 × 35,214.56
  4. Step 4: Simplify right side
    65,022.56x = 3,159,853,177.77
  5. Step 5: Solve for x
    x = 3,159,853,177.77/65,022.56
  6. Step 6: Final answer
    x = 48,596.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.