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Finding the Fourth Proportional to 35,938.33, 53,905.65 and 13,750

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Solution

The fourth proportional to 35,938.33, 53,905.65 and 13,750 is: 20,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938.33 : 53,905.65 = 13,750 : x
  2. Step 2: Convert to fraction form
    35,938.33/53,905.65 = 13,750/x
  3. Step 3: Cross multiply
    35,938.33x = 53,905.65 × 13,750
  4. Step 4: Simplify right side
    35,938.33x = 741,202,687.50
  5. Step 5: Solve for x
    x = 741,202,687.50/35,938.33
  6. Step 6: Final answer
    x = 20,624.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.