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Finding the Fourth Proportional to 35,690.40, 53,519.40 and 13,496.40

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Solution

The fourth proportional to 35,690.40, 53,519.40 and 13,496.40 is: 20,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690.40 : 53,519.40 = 13,496.40 : x
  2. Step 2: Convert to fraction form
    35,690.40/53,519.40 = 13,496.40/x
  3. Step 3: Cross multiply
    35,690.40x = 53,519.40 × 13,496.40
  4. Step 4: Simplify right side
    35,690.40x = 722,319,230.16
  5. Step 5: Solve for x
    x = 722,319,230.16/35,690.40
  6. Step 6: Final answer
    x = 20,238.47

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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.