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Finding the Fourth Proportional to 35,866.40, 53,792.40 and 17,146.40

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Solution

The fourth proportional to 35,866.40, 53,792.40 and 17,146.40 is: 25,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866.40 : 53,792.40 = 17,146.40 : x
  2. Step 2: Convert to fraction form
    35,866.40/53,792.40 = 17,146.40/x
  3. Step 3: Cross multiply
    35,866.40x = 53,792.40 × 17,146.40
  4. Step 4: Simplify right side
    35,866.40x = 922,346,007.36
  5. Step 5: Solve for x
    x = 922,346,007.36/35,866.40
  6. Step 6: Final answer
    x = 25,716.16

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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.