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Finding the Fourth Proportional to 35,404.80, 53,102.64 and 10,447.48

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Solution

The fourth proportional to 35,404.80, 53,102.64 and 10,447.48 is: 15,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,404.80 : 53,102.64 = 10,447.48 : x
  2. Step 2: Convert to fraction form
    35,404.80/53,102.64 = 10,447.48/x
  3. Step 3: Cross multiply
    35,404.80x = 53,102.64 × 10,447.48
  4. Step 4: Simplify right side
    35,404.80x = 554,788,816.14
  5. Step 5: Solve for x
    x = 554,788,816.14/35,404.80
  6. Step 6: Final answer
    x = 15,669.88

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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.