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Finding the Fourth Proportional to 35,609.31, 53,412 and 10,649.57

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Solution

The fourth proportional to 35,609.31, 53,412 and 10,649.57 is: 15,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,609.31 : 53,412 = 10,649.57 : x
  2. Step 2: Convert to fraction form
    35,609.31/53,412 = 10,649.57/x
  3. Step 3: Cross multiply
    35,609.31x = 53,412 × 10,649.57
  4. Step 4: Simplify right side
    35,609.31x = 568,814,832.84
  5. Step 5: Solve for x
    x = 568,814,832.84/35,609.31
  6. Step 6: Final answer
    x = 15,973.77

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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.