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Finding the Fourth Proportional to 35,813.61, 53,743.73 and 13,627.17

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Solution

The fourth proportional to 35,813.61, 53,743.73 and 13,627.17 is: 20,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.61 : 53,743.73 = 13,627.17 : x
  2. Step 2: Convert to fraction form
    35,813.61/53,743.73 = 13,627.17/x
  3. Step 3: Cross multiply
    35,813.61x = 53,743.73 × 13,627.17
  4. Step 4: Simplify right side
    35,813.61x = 732,374,877.01
  5. Step 5: Solve for x
    x = 732,374,877.01/35,813.61
  6. Step 6: Final answer
    x = 20,449.62

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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.