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Finding the Fourth Proportional to 38,497.25, 53,126.21 and 20,833.25

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Solution

The fourth proportional to 38,497.25, 53,126.21 and 20,833.25 is: 28,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.25 : 53,126.21 = 20,833.25 : x
  2. Step 2: Convert to fraction form
    38,497.25/53,126.21 = 20,833.25/x
  3. Step 3: Cross multiply
    38,497.25x = 53,126.21 × 20,833.25
  4. Step 4: Simplify right side
    38,497.25x = 1,106,791,510.32
  5. Step 5: Solve for x
    x = 1,106,791,510.32/38,497.25
  6. Step 6: Final answer
    x = 28,749.89

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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.