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Finding the Fourth Proportional to 35,523, 53,299.62 and 13,333.14

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Solution

The fourth proportional to 35,523, 53,299.62 and 13,333.14 is: 20,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523 : 53,299.62 = 13,333.14 : x
  2. Step 2: Convert to fraction form
    35,523/53,299.62 = 13,333.14/x
  3. Step 3: Cross multiply
    35,523x = 53,299.62 × 13,333.14
  4. Step 4: Simplify right side
    35,523x = 710,651,295.41
  5. Step 5: Solve for x
    x = 710,651,295.41/35,523
  6. Step 6: Final answer
    x = 20,005.39

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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.