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Finding the Fourth Proportional to 35,712.38, 53,564.45 and 14,364.29

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Solution

The fourth proportional to 35,712.38, 53,564.45 and 14,364.29 is: 21,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.38 : 53,564.45 = 14,364.29 : x
  2. Step 2: Convert to fraction form
    35,712.38/53,564.45 = 14,364.29/x
  3. Step 3: Cross multiply
    35,712.38x = 53,564.45 × 14,364.29
  4. Step 4: Simplify right side
    35,712.38x = 769,414,953.85
  5. Step 5: Solve for x
    x = 769,414,953.85/35,712.38
  6. Step 6: Final answer
    x = 21,544.77

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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.