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Finding the Fourth Proportional to 65,043.93, 97,568.73 and 22,378.74

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Solution

The fourth proportional to 65,043.93, 97,568.73 and 22,378.74 is: 33,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.93 : 97,568.73 = 22,378.74 : x
  2. Step 2: Convert to fraction form
    65,043.93/97,568.73 = 22,378.74/x
  3. Step 3: Cross multiply
    65,043.93x = 97,568.73 × 22,378.74
  4. Step 4: Simplify right side
    65,043.93x = 2,183,465,240.80
  5. Step 5: Solve for x
    x = 2,183,465,240.80/65,043.93
  6. Step 6: Final answer
    x = 33,569.09

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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.