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Finding the Fourth Proportional to 35,744.68, 53,602.62 and 10,777

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Solution

The fourth proportional to 35,744.68, 53,602.62 and 10,777 is: 16,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.68 : 53,602.62 = 10,777 : x
  2. Step 2: Convert to fraction form
    35,744.68/53,602.62 = 10,777/x
  3. Step 3: Cross multiply
    35,744.68x = 53,602.62 × 10,777
  4. Step 4: Simplify right side
    35,744.68x = 577,675,435.74
  5. Step 5: Solve for x
    x = 577,675,435.74/35,744.68
  6. Step 6: Final answer
    x = 16,161.16

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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.