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Finding the Fourth Proportional to 35,886.40, 53,822.40 and 17,166.40

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Solution

The fourth proportional to 35,886.40, 53,822.40 and 17,166.40 is: 25,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886.40 : 53,822.40 = 17,166.40 : x
  2. Step 2: Convert to fraction form
    35,886.40/53,822.40 = 17,166.40/x
  3. Step 3: Cross multiply
    35,886.40x = 53,822.40 × 17,166.40
  4. Step 4: Simplify right side
    35,886.40x = 923,936,847.36
  5. Step 5: Solve for x
    x = 923,936,847.36/35,886.40
  6. Step 6: Final answer
    x = 25,746.16

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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.