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Finding the Fourth Proportional to 38,564.49, 53,216.56 and 21,570.29

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Solution

The fourth proportional to 38,564.49, 53,216.56 and 21,570.29 is: 29,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.49 : 53,216.56 = 21,570.29 : x
  2. Step 2: Convert to fraction form
    38,564.49/53,216.56 = 21,570.29/x
  3. Step 3: Cross multiply
    38,564.49x = 53,216.56 × 21,570.29
  4. Step 4: Simplify right side
    38,564.49x = 1,147,896,632.00
  5. Step 5: Solve for x
    x = 1,147,896,632.00/38,564.49
  6. Step 6: Final answer
    x = 29,765.64

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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.