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Finding the Fourth Proportional to 35,465.34, 53,199.84 and 9,170.31

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Solution

The fourth proportional to 35,465.34, 53,199.84 and 9,170.31 is: 13,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.34 : 53,199.84 = 9,170.31 : x
  2. Step 2: Convert to fraction form
    35,465.34/53,199.84 = 9,170.31/x
  3. Step 3: Cross multiply
    35,465.34x = 53,199.84 × 9,170.31
  4. Step 4: Simplify right side
    35,465.34x = 487,858,978.90
  5. Step 5: Solve for x
    x = 487,858,978.90/35,465.34
  6. Step 6: Final answer
    x = 13,755.94

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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.