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Finding the Fourth Proportional to 27,952.81, 38,577.59 and 20,866.93

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Solution

The fourth proportional to 27,952.81, 38,577.59 and 20,866.93 is: 28,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.81 : 38,577.59 = 20,866.93 : x
  2. Step 2: Convert to fraction form
    27,952.81/38,577.59 = 20,866.93/x
  3. Step 3: Cross multiply
    27,952.81x = 38,577.59 × 20,866.93
  4. Step 4: Simplify right side
    27,952.81x = 804,995,870.10
  5. Step 5: Solve for x
    x = 804,995,870.10/27,952.81
  6. Step 6: Final answer
    x = 28,798.39

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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.