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Finding the Fourth Proportional to 35,446.38, 53,178.80 and 13,261.49

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Solution

The fourth proportional to 35,446.38, 53,178.80 and 13,261.49 is: 19,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446.38 : 53,178.80 = 13,261.49 : x
  2. Step 2: Convert to fraction form
    35,446.38/53,178.80 = 13,261.49/x
  3. Step 3: Cross multiply
    35,446.38x = 53,178.80 × 13,261.49
  4. Step 4: Simplify right side
    35,446.38x = 705,229,792.21
  5. Step 5: Solve for x
    x = 705,229,792.21/35,446.38
  6. Step 6: Final answer
    x = 19,895.68

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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.