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Finding the Fourth Proportional to 35,496, 53,253 and 13,309.44

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Solution

The fourth proportional to 35,496, 53,253 and 13,309.44 is: 19,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496 : 53,253 = 13,309.44 : x
  2. Step 2: Convert to fraction form
    35,496/53,253 = 13,309.44/x
  3. Step 3: Cross multiply
    35,496x = 53,253 × 13,309.44
  4. Step 4: Simplify right side
    35,496x = 708,767,608.32
  5. Step 5: Solve for x
    x = 708,767,608.32/35,496
  6. Step 6: Final answer
    x = 19,967.53

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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.