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Finding the Fourth Proportional to 35,209.36, 52,833.48 and 14,428

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Solution

The fourth proportional to 35,209.36, 52,833.48 and 14,428 is: 21,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,209.36 : 52,833.48 = 14,428 : x
  2. Step 2: Convert to fraction form
    35,209.36/52,833.48 = 14,428/x
  3. Step 3: Cross multiply
    35,209.36x = 52,833.48 × 14,428
  4. Step 4: Simplify right side
    35,209.36x = 762,281,449.44
  5. Step 5: Solve for x
    x = 762,281,449.44/35,209.36
  6. Step 6: Final answer
    x = 21,649.97

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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.