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Finding the Fourth Proportional to 57,037.81, 85,571.29 and 23,746.81

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Solution

The fourth proportional to 57,037.81, 85,571.29 and 23,746.81 is: 35,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,037.81 : 85,571.29 = 23,746.81 : x
  2. Step 2: Convert to fraction form
    57,037.81/85,571.29 = 23,746.81/x
  3. Step 3: Cross multiply
    57,037.81x = 85,571.29 × 23,746.81
  4. Step 4: Simplify right side
    57,037.81x = 2,032,044,737.23
  5. Step 5: Solve for x
    x = 2,032,044,737.23/57,037.81
  6. Step 6: Final answer
    x = 35,626.28

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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.