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Finding the Fourth Proportional to 35,880.66, 53,824.66 and 13,712.69

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Solution

The fourth proportional to 35,880.66, 53,824.66 and 13,712.69 is: 20,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880.66 : 53,824.66 = 13,712.69 : x
  2. Step 2: Convert to fraction form
    35,880.66/53,824.66 = 13,712.69/x
  3. Step 3: Cross multiply
    35,880.66x = 53,824.66 × 13,712.69
  4. Step 4: Simplify right side
    35,880.66x = 738,080,977.22
  5. Step 5: Solve for x
    x = 738,080,977.22/35,880.66
  6. Step 6: Final answer
    x = 20,570.44

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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.