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Finding the Fourth Proportional to 35,754.85, 53,634.84 and 9,459.28

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Solution

The fourth proportional to 35,754.85, 53,634.84 and 9,459.28 is: 14,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.85 : 53,634.84 = 9,459.28 : x
  2. Step 2: Convert to fraction form
    35,754.85/53,634.84 = 9,459.28/x
  3. Step 3: Cross multiply
    35,754.85x = 53,634.84 × 9,459.28
  4. Step 4: Simplify right side
    35,754.85x = 507,347,054.09
  5. Step 5: Solve for x
    x = 507,347,054.09/35,754.85
  6. Step 6: Final answer
    x = 14,189.60

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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.