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Finding the Fourth Proportional to 45,468.47, 62,749.64 and 27,564.23

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Solution

The fourth proportional to 45,468.47, 62,749.64 and 27,564.23 is: 38,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468.47 : 62,749.64 = 27,564.23 : x
  2. Step 2: Convert to fraction form
    45,468.47/62,749.64 = 27,564.23/x
  3. Step 3: Cross multiply
    45,468.47x = 62,749.64 × 27,564.23
  4. Step 4: Simplify right side
    45,468.47x = 1,729,645,509.38
  5. Step 5: Solve for x
    x = 1,729,645,509.38/45,468.47
  6. Step 6: Final answer
    x = 38,040.55

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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.