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Finding the Fourth Proportional to 27,144, 37,448.64 and 17,055.36

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Solution

The fourth proportional to 27,144, 37,448.64 and 17,055.36 is: 23,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 37,448.64 = 17,055.36 : x
  2. Step 2: Convert to fraction form
    27,144/37,448.64 = 17,055.36/x
  3. Step 3: Cross multiply
    27,144x = 37,448.64 × 17,055.36
  4. Step 4: Simplify right side
    27,144x = 638,700,036.71
  5. Step 5: Solve for x
    x = 638,700,036.71/27,144
  6. Step 6: Final answer
    x = 23,530.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.