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Finding the Fourth Proportional to 35,410.50, 53,124.86 and 13,224.04

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Solution

The fourth proportional to 35,410.50, 53,124.86 and 13,224.04 is: 19,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.50 : 53,124.86 = 13,224.04 : x
  2. Step 2: Convert to fraction form
    35,410.50/53,124.86 = 13,224.04/x
  3. Step 3: Cross multiply
    35,410.50x = 53,124.86 × 13,224.04
  4. Step 4: Simplify right side
    35,410.50x = 702,525,173.88
  5. Step 5: Solve for x
    x = 702,525,173.88/35,410.50
  6. Step 6: Final answer
    x = 19,839.46

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Why These Related Problems?

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