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Finding the Fourth Proportional to 97,315.81, 134,295.84 and 54,874.34

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Solution

The fourth proportional to 97,315.81, 134,295.84 and 54,874.34 is: 75,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315.81 : 134,295.84 = 54,874.34 : x
  2. Step 2: Convert to fraction form
    97,315.81/134,295.84 = 54,874.34/x
  3. Step 3: Cross multiply
    97,315.81x = 134,295.84 × 54,874.34
  4. Step 4: Simplify right side
    97,315.81x = 7,369,395,584.75
  5. Step 5: Solve for x
    x = 7,369,395,584.75/97,315.81
  6. Step 6: Final answer
    x = 75,726.60

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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.