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Finding the Fourth Proportional to 35,720.88, 53,575.16 and 9,425.84

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Solution

The fourth proportional to 35,720.88, 53,575.16 and 9,425.84 is: 14,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720.88 : 53,575.16 = 9,425.84 : x
  2. Step 2: Convert to fraction form
    35,720.88/53,575.16 = 9,425.84/x
  3. Step 3: Cross multiply
    35,720.88x = 53,575.16 × 9,425.84
  4. Step 4: Simplify right side
    35,720.88x = 504,990,886.13
  5. Step 5: Solve for x
    x = 504,990,886.13/35,720.88
  6. Step 6: Final answer
    x = 14,137.13

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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.