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Finding the Fourth Proportional to 53,692.38, 74,090.07 and 31,349.34

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Solution

The fourth proportional to 53,692.38, 74,090.07 and 31,349.34 is: 43,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.38 : 74,090.07 = 31,349.34 : x
  2. Step 2: Convert to fraction form
    53,692.38/74,090.07 = 31,349.34/x
  3. Step 3: Cross multiply
    53,692.38x = 74,090.07 × 31,349.34
  4. Step 4: Simplify right side
    53,692.38x = 2,322,674,795.05
  5. Step 5: Solve for x
    x = 2,322,674,795.05/53,692.38
  6. Step 6: Final answer
    x = 43,258.93

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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.