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Finding the Fourth Proportional to 35,495, 53,251.50 and 13,308.44

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Solution

The fourth proportional to 35,495, 53,251.50 and 13,308.44 is: 19,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,495 : 53,251.50 = 13,308.44 : x
  2. Step 2: Convert to fraction form
    35,495/53,251.50 = 13,308.44/x
  3. Step 3: Cross multiply
    35,495x = 53,251.50 × 13,308.44
  4. Step 4: Simplify right side
    35,495x = 708,694,392.66
  5. Step 5: Solve for x
    x = 708,694,392.66/35,495
  6. Step 6: Final answer
    x = 19,966.03

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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.