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Finding the Fourth Proportional to 35,439.36, 53,128.32 and 13,536

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Solution

The fourth proportional to 35,439.36, 53,128.32 and 13,536 is: 20,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,439.36 : 53,128.32 = 13,536 : x
  2. Step 2: Convert to fraction form
    35,439.36/53,128.32 = 13,536/x
  3. Step 3: Cross multiply
    35,439.36x = 53,128.32 × 13,536
  4. Step 4: Simplify right side
    35,439.36x = 719,144,939.52
  5. Step 5: Solve for x
    x = 719,144,939.52/35,439.36
  6. Step 6: Final answer
    x = 20,292.27

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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.