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Finding the Fourth Proportional to 35,427.16, 53,104.29 and 15,715

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Solution

The fourth proportional to 35,427.16, 53,104.29 and 15,715 is: 23,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,427.16 : 53,104.29 = 15,715 : x
  2. Step 2: Convert to fraction form
    35,427.16/53,104.29 = 15,715/x
  3. Step 3: Cross multiply
    35,427.16x = 53,104.29 × 15,715
  4. Step 4: Simplify right side
    35,427.16x = 834,533,917.35
  5. Step 5: Solve for x
    x = 834,533,917.35/35,427.16
  6. Step 6: Final answer
    x = 23,556.33

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