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Finding the Fourth Proportional to 65,954.54, 98,894.81 and 28,491.23

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Solution

The fourth proportional to 65,954.54, 98,894.81 and 28,491.23 is: 42,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954.54 : 98,894.81 = 28,491.23 : x
  2. Step 2: Convert to fraction form
    65,954.54/98,894.81 = 28,491.23/x
  3. Step 3: Cross multiply
    65,954.54x = 98,894.81 × 28,491.23
  4. Step 4: Simplify right side
    65,954.54x = 2,817,634,140.59
  5. Step 5: Solve for x
    x = 2,817,634,140.59/65,954.54
  6. Step 6: Final answer
    x = 42,720.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.