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Finding the Fourth Proportional to 60,215.40, 83,094.90 and 32,991

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Solution

The fourth proportional to 60,215.40, 83,094.90 and 32,991 is: 45,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,215.40 : 83,094.90 = 32,991 : x
  2. Step 2: Convert to fraction form
    60,215.40/83,094.90 = 32,991/x
  3. Step 3: Cross multiply
    60,215.40x = 83,094.90 × 32,991
  4. Step 4: Simplify right side
    60,215.40x = 2,741,383,845.90
  5. Step 5: Solve for x
    x = 2,741,383,845.90/60,215.40
  6. Step 6: Final answer
    x = 45,526.29

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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.