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Finding the Fourth Proportional to 35,687.60, 53,541.14 and 12,317.48

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Solution

The fourth proportional to 35,687.60, 53,541.14 and 12,317.48 is: 18,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.60 : 53,541.14 = 12,317.48 : x
  2. Step 2: Convert to fraction form
    35,687.60/53,541.14 = 12,317.48/x
  3. Step 3: Cross multiply
    35,687.60x = 53,541.14 × 12,317.48
  4. Step 4: Simplify right side
    35,687.60x = 659,491,921.13
  5. Step 5: Solve for x
    x = 659,491,921.13/35,687.60
  6. Step 6: Final answer
    x = 18,479.58

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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.