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Finding the Fourth Proportional to 35,412.24, 53,119 and 9,117.52

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Solution

The fourth proportional to 35,412.24, 53,119 and 9,117.52 is: 13,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.24 : 53,119 = 9,117.52 : x
  2. Step 2: Convert to fraction form
    35,412.24/53,119 = 9,117.52/x
  3. Step 3: Cross multiply
    35,412.24x = 53,119 × 9,117.52
  4. Step 4: Simplify right side
    35,412.24x = 484,313,544.88
  5. Step 5: Solve for x
    x = 484,313,544.88/35,412.24
  6. Step 6: Final answer
    x = 13,676.44

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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.