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Finding the Fourth Proportional to 35,865.25, 53,806.52 and 11,241.25

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Solution

The fourth proportional to 35,865.25, 53,806.52 and 11,241.25 is: 16,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865.25 : 53,806.52 = 11,241.25 : x
  2. Step 2: Convert to fraction form
    35,865.25/53,806.52 = 11,241.25/x
  3. Step 3: Cross multiply
    35,865.25x = 53,806.52 × 11,241.25
  4. Step 4: Simplify right side
    35,865.25x = 604,852,486.74
  5. Step 5: Solve for x
    x = 604,852,486.74/35,865.25
  6. Step 6: Final answer
    x = 16,864.58

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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.