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Finding the Fourth Proportional to 35,344.88, 53,023.80 and 11,653.82

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Solution

The fourth proportional to 35,344.88, 53,023.80 and 11,653.82 is: 17,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.88 : 53,023.80 = 11,653.82 : x
  2. Step 2: Convert to fraction form
    35,344.88/53,023.80 = 11,653.82/x
  3. Step 3: Cross multiply
    35,344.88x = 53,023.80 × 11,653.82
  4. Step 4: Simplify right side
    35,344.88x = 617,929,820.92
  5. Step 5: Solve for x
    x = 617,929,820.92/35,344.88
  6. Step 6: Final answer
    x = 17,482.87

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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.