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Finding the Fourth Proportional to 35,409.60, 53,101.76 and 11,712.78

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Solution

The fourth proportional to 35,409.60, 53,101.76 and 11,712.78 is: 17,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.60 : 53,101.76 = 11,712.78 : x
  2. Step 2: Convert to fraction form
    35,409.60/53,101.76 = 11,712.78/x
  3. Step 3: Cross multiply
    35,409.60x = 53,101.76 × 11,712.78
  4. Step 4: Simplify right side
    35,409.60x = 621,969,173.93
  5. Step 5: Solve for x
    x = 621,969,173.93/35,409.60
  6. Step 6: Final answer
    x = 17,564.99

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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.